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Finding the Fourth Proportional to 509,336,875.70, 764,005,313.55 and 509,336,875.70

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Solution

The fourth proportional to 509,336,875.70, 764,005,313.55 and 509,336,875.70 is: 764,005,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,336,875.70 : 764,005,313.55 = 509,336,875.70 : x
  2. Step 2: Convert to fraction form
    509,336,875.70/764,005,313.55 = 509,336,875.70/x
  3. Step 3: Cross multiply
    509,336,875.70x = 764,005,313.55 × 509,336,875.70
  4. Step 4: Simplify right side
    509,336,875.70x = 389,136,079,421,755,840
  5. Step 5: Solve for x
    x = 389,136,079,421,755,840/509,336,875.70
  6. Step 6: Final answer
    x = 764,005,313.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.