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Finding the Fourth Proportional to 306,537,311.10, 459,805,966.65 and 306,537,311.10

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Solution

The fourth proportional to 306,537,311.10, 459,805,966.65 and 306,537,311.10 is: 459,805,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,537,311.10 : 459,805,966.65 = 306,537,311.10 : x
  2. Step 2: Convert to fraction form
    306,537,311.10/459,805,966.65 = 306,537,311.10/x
  3. Step 3: Cross multiply
    306,537,311.10x = 459,805,966.65 × 306,537,311.10
  4. Step 4: Simplify right side
    306,537,311.10x = 140,947,684,644,627,280
  5. Step 5: Solve for x
    x = 140,947,684,644,627,280/306,537,311.10
  6. Step 6: Final answer
    x = 459,805,966.65

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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.