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Finding the Fourth Proportional to 984,713,778, 1,358,900,950.57 and 532,592,250.19

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Solution

The fourth proportional to 984,713,778, 1,358,900,950.57 and 532,592,250.19 is: 734,975,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,713,778 : 1,358,900,950.57 = 532,592,250.19 : x
  2. Step 2: Convert to fraction form
    984,713,778/1,358,900,950.57 = 532,592,250.19/x
  3. Step 3: Cross multiply
    984,713,778x = 1,358,900,950.57 × 532,592,250.19
  4. Step 4: Simplify right side
    984,713,778x = 723,740,115,049,406,208
  5. Step 5: Solve for x
    x = 723,740,115,049,406,208/984,713,778
  6. Step 6: Final answer
    x = 734,975,107.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.