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Finding the Fourth Proportional to 514,888,976.55, 772,333,464.83 and 514,888,976.55

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Solution

The fourth proportional to 514,888,976.55, 772,333,464.83 and 514,888,976.55 is: 772,333,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,888,976.55 : 772,333,464.83 = 514,888,976.55 : x
  2. Step 2: Convert to fraction form
    514,888,976.55/772,333,464.83 = 514,888,976.55/x
  3. Step 3: Cross multiply
    514,888,976.55x = 772,333,464.83 × 514,888,976.55
  4. Step 4: Simplify right side
    514,888,976.55x = 397,665,987,259,059,712
  5. Step 5: Solve for x
    x = 397,665,987,259,059,712/514,888,976.55
  6. Step 6: Final answer
    x = 772,333,464.83

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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.