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Finding the Fourth Proportional to 468,133,092,140.85, 702,199,638,211.27 and 468,133,092,140.85

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Solution

The fourth proportional to 468,133,092,140.85, 702,199,638,211.27 and 468,133,092,140.85 is: 702,199,638,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,133,092,140.85 : 702,199,638,211.27 = 468,133,092,140.85 : x
  2. Step 2: Convert to fraction form
    468,133,092,140.85/702,199,638,211.27 = 468,133,092,140.85/x
  3. Step 3: Cross multiply
    468,133,092,140.85x = 702,199,638,211.27 × 468,133,092,140.85
  4. Step 4: Simplify right side
    468,133,092,140.85x = 328,722,887,936,027,979,153,408
  5. Step 5: Solve for x
    x = 328,722,887,936,027,979,153,408/468,133,092,140.85
  6. Step 6: Final answer
    x = 702,199,638,211.27

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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.