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Finding the Fourth Proportional to 468,133,092,105.10, 702,199,638,157.65 and 468,133,092,105.10

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Solution

The fourth proportional to 468,133,092,105.10, 702,199,638,157.65 and 468,133,092,105.10 is: 702,199,638,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,133,092,105.10 : 702,199,638,157.65 = 468,133,092,105.10 : x
  2. Step 2: Convert to fraction form
    468,133,092,105.10/702,199,638,157.65 = 468,133,092,105.10/x
  3. Step 3: Cross multiply
    468,133,092,105.10x = 702,199,638,157.65 × 468,133,092,105.10
  4. Step 4: Simplify right side
    468,133,092,105.10x = 328,722,887,885,823,032,688,640
  5. Step 5: Solve for x
    x = 328,722,887,885,823,032,688,640/468,133,092,105.10
  6. Step 6: Final answer
    x = 702,199,638,157.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.