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Finding the Fourth Proportional to 514,888,980.30, 772,333,470.45 and 514,888,980.30

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Solution

The fourth proportional to 514,888,980.30, 772,333,470.45 and 514,888,980.30 is: 772,333,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,888,980.30 : 772,333,470.45 = 514,888,980.30 : x
  2. Step 2: Convert to fraction form
    514,888,980.30/772,333,470.45 = 514,888,980.30/x
  3. Step 3: Cross multiply
    514,888,980.30x = 772,333,470.45 × 514,888,980.30
  4. Step 4: Simplify right side
    514,888,980.30x = 397,665,993,051,560,704
  5. Step 5: Solve for x
    x = 397,665,993,051,560,704/514,888,980.30
  6. Step 6: Final answer
    x = 772,333,470.45

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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.