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Finding the Fourth Proportional to 509,306,798.70, 763,960,198.05 and 509,306,798.70

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Solution

The fourth proportional to 509,306,798.70, 763,960,198.05 and 509,306,798.70 is: 763,960,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,306,798.70 : 763,960,198.05 = 509,306,798.70 : x
  2. Step 2: Convert to fraction form
    509,306,798.70/763,960,198.05 = 509,306,798.70/x
  3. Step 3: Cross multiply
    509,306,798.70x = 763,960,198.05 × 509,306,798.70
  4. Step 4: Simplify right side
    509,306,798.70x = 389,090,122,803,063,424
  5. Step 5: Solve for x
    x = 389,090,122,803,063,424/509,306,798.70
  6. Step 6: Final answer
    x = 763,960,198.05

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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.