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Finding the Fourth Proportional to 524,016,282.70, 786,024,424.05 and 472,997,946.70

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Solution

The fourth proportional to 524,016,282.70, 786,024,424.05 and 472,997,946.70 is: 709,496,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,016,282.70 : 786,024,424.05 = 472,997,946.70 : x
  2. Step 2: Convert to fraction form
    524,016,282.70/786,024,424.05 = 472,997,946.70/x
  3. Step 3: Cross multiply
    524,016,282.70x = 786,024,424.05 × 472,997,946.70
  4. Step 4: Simplify right side
    524,016,282.70x = 371,787,938,631,700,096
  5. Step 5: Solve for x
    x = 371,787,938,631,700,096/524,016,282.70
  6. Step 6: Final answer
    x = 709,496,920.05

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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.