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Finding the Fourth Proportional to 100,909,934.20, 141,656,545.40 and 100,909,934.20

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Solution

The fourth proportional to 100,909,934.20, 141,656,545.40 and 100,909,934.20 is: 141,656,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,909,934.20 : 141,656,545.40 = 100,909,934.20 : x
  2. Step 2: Convert to fraction form
    100,909,934.20/141,656,545.40 = 100,909,934.20/x
  3. Step 3: Cross multiply
    100,909,934.20x = 141,656,545.40 × 100,909,934.20
  4. Step 4: Simplify right side
    100,909,934.20x = 14,294,552,675,313,314
  5. Step 5: Solve for x
    x = 14,294,552,675,313,314/100,909,934.20
  6. Step 6: Final answer
    x = 141,656,545.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.