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Finding the Fourth Proportional to 707,459,963.70, 1,061,189,945.55 and 707,459,963.70

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Solution

The fourth proportional to 707,459,963.70, 1,061,189,945.55 and 707,459,963.70 is: 1,061,189,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,459,963.70 : 1,061,189,945.55 = 707,459,963.70 : x
  2. Step 2: Convert to fraction form
    707,459,963.70/1,061,189,945.55 = 707,459,963.70/x
  3. Step 3: Cross multiply
    707,459,963.70x = 1,061,189,945.55 × 707,459,963.70
  4. Step 4: Simplify right side
    707,459,963.70x = 750,749,400,357,607,936
  5. Step 5: Solve for x
    x = 750,749,400,357,607,936/707,459,963.70
  6. Step 6: Final answer
    x = 1,061,189,945.55

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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.