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Finding the Fourth Proportional to 514,937,556.40, 772,749,778.08 and 187,412,978.32

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Solution

The fourth proportional to 514,937,556.40, 772,749,778.08 and 187,412,978.32 is: 281,244,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,937,556.40 : 772,749,778.08 = 187,412,978.32 : x
  2. Step 2: Convert to fraction form
    514,937,556.40/772,749,778.08 = 187,412,978.32/x
  3. Step 3: Cross multiply
    514,937,556.40x = 772,749,778.08 × 187,412,978.32
  4. Step 4: Simplify right side
    514,937,556.40x = 144,823,337,406,091,840
  5. Step 5: Solve for x
    x = 144,823,337,406,091,840/514,937,556.40
  6. Step 6: Final answer
    x = 281,244,464.70

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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.