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Finding the Fourth Proportional to 765,034,117.65, 1,073,088,498.15 and 765,034,117.65

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Solution

The fourth proportional to 765,034,117.65, 1,073,088,498.15 and 765,034,117.65 is: 1,073,088,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,034,117.65 : 1,073,088,498.15 = 765,034,117.65 : x
  2. Step 2: Convert to fraction form
    765,034,117.65/1,073,088,498.15 = 765,034,117.65/x
  3. Step 3: Cross multiply
    765,034,117.65x = 1,073,088,498.15 × 765,034,117.65
  4. Step 4: Simplify right side
    765,034,117.65x = 820,949,312,342,548,864
  5. Step 5: Solve for x
    x = 820,949,312,342,548,864/765,034,117.65
  6. Step 6: Final answer
    x = 1,073,088,498.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.