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Finding the Fourth Proportional to 409,709,959.80, 614,564,939.70 and 409,709,959.80

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Solution

The fourth proportional to 409,709,959.80, 614,564,939.70 and 409,709,959.80 is: 614,564,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,709,959.80 : 614,564,939.70 = 409,709,959.80 : x
  2. Step 2: Convert to fraction form
    409,709,959.80/614,564,939.70 = 409,709,959.80/x
  3. Step 3: Cross multiply
    409,709,959.80x = 614,564,939.70 × 409,709,959.80
  4. Step 4: Simplify right side
    409,709,959.80x = 251,793,376,738,976,448
  5. Step 5: Solve for x
    x = 251,793,376,738,976,448/409,709,959.80
  6. Step 6: Final answer
    x = 614,564,939.70

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