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Finding the Fourth Proportional to 509,306,812.95, 763,960,219.43 and 509,306,812.95

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Solution

The fourth proportional to 509,306,812.95, 763,960,219.43 and 509,306,812.95 is: 763,960,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,306,812.95 : 763,960,219.43 = 509,306,812.95 : x
  2. Step 2: Convert to fraction form
    509,306,812.95/763,960,219.43 = 509,306,812.95/x
  3. Step 3: Cross multiply
    509,306,812.95x = 763,960,219.43 × 509,306,812.95
  4. Step 4: Simplify right side
    509,306,812.95x = 389,090,144,575,929,408
  5. Step 5: Solve for x
    x = 389,090,144,575,929,408/509,306,812.95
  6. Step 6: Final answer
    x = 763,960,219.43

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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.