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Finding the Fourth Proportional to 468,133,092,125.35, 702,199,638,188.02 and 468,133,092,125.35

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Solution

The fourth proportional to 468,133,092,125.35, 702,199,638,188.02 and 468,133,092,125.35 is: 702,199,638,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,133,092,125.35 : 702,199,638,188.02 = 468,133,092,125.35 : x
  2. Step 2: Convert to fraction form
    468,133,092,125.35/702,199,638,188.02 = 468,133,092,125.35/x
  3. Step 3: Cross multiply
    468,133,092,125.35x = 702,199,638,188.02 × 468,133,092,125.35
  4. Step 4: Simplify right side
    468,133,092,125.35x = 328,722,887,914,259,809,828,864
  5. Step 5: Solve for x
    x = 328,722,887,914,259,809,828,864/468,133,092,125.35
  6. Step 6: Final answer
    x = 702,199,638,188.02

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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.