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Finding the Fourth Proportional to 402,020,006.40, 601,754,551.20 and 402,020,006.40

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Solution

The fourth proportional to 402,020,006.40, 601,754,551.20 and 402,020,006.40 is: 601,754,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,020,006.40 : 601,754,551.20 = 402,020,006.40 : x
  2. Step 2: Convert to fraction form
    402,020,006.40/601,754,551.20 = 402,020,006.40/x
  3. Step 3: Cross multiply
    402,020,006.40x = 601,754,551.20 × 402,020,006.40
  4. Step 4: Simplify right side
    402,020,006.40x = 241,917,368,524,653,120
  5. Step 5: Solve for x
    x = 241,917,368,524,653,120/402,020,006.40
  6. Step 6: Final answer
    x = 601,754,551.20

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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.