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Finding the Fourth Proportional to 922,566,649.47, 1,273,141,153.74 and 520,764,972.66

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Solution

The fourth proportional to 922,566,649.47, 1,273,141,153.74 and 520,764,972.66 is: 718,655,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,566,649.47 : 1,273,141,153.74 = 520,764,972.66 : x
  2. Step 2: Convert to fraction form
    922,566,649.47/1,273,141,153.74 = 520,764,972.66/x
  3. Step 3: Cross multiply
    922,566,649.47x = 1,273,141,153.74 × 520,764,972.66
  4. Step 4: Simplify right side
    922,566,649.47x = 663,007,318,119,731,968
  5. Step 5: Solve for x
    x = 663,007,318,119,731,968/922,566,649.47
  6. Step 6: Final answer
    x = 718,655,197.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.