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Finding the Fourth Proportional to 753,048,007.65, 1,129,572,011.49 and 753,048,007.65

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Solution

The fourth proportional to 753,048,007.65, 1,129,572,011.49 and 753,048,007.65 is: 1,129,572,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,048,007.65 : 1,129,572,011.49 = 753,048,007.65 : x
  2. Step 2: Convert to fraction form
    753,048,007.65/1,129,572,011.49 = 753,048,007.65/x
  3. Step 3: Cross multiply
    753,048,007.65x = 1,129,572,011.49 × 753,048,007.65
  4. Step 4: Simplify right side
    753,048,007.65x = 850,621,952,749,747,328
  5. Step 5: Solve for x
    x = 850,621,952,749,747,328/753,048,007.65
  6. Step 6: Final answer
    x = 1,129,572,011.49

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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.