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Finding the Fourth Proportional to 643,972,762.32, 966,439,931.50 and 478,358,696.32

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Solution

The fourth proportional to 643,972,762.32, 966,439,931.50 and 478,358,696.32 is: 717,895,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,972,762.32 : 966,439,931.50 = 478,358,696.32 : x
  2. Step 2: Convert to fraction form
    643,972,762.32/966,439,931.50 = 478,358,696.32/x
  3. Step 3: Cross multiply
    643,972,762.32x = 966,439,931.50 × 478,358,696.32
  4. Step 4: Simplify right side
    643,972,762.32x = 462,304,945,703,930,112
  5. Step 5: Solve for x
    x = 462,304,945,703,930,112/643,972,762.32
  6. Step 6: Final answer
    x = 717,895,185.56

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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.