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Finding the Fourth Proportional to 917,447,175.90, 1,376,170,763.85 and 917,447,175.90

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Solution

The fourth proportional to 917,447,175.90, 1,376,170,763.85 and 917,447,175.90 is: 1,376,170,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,447,175.90 : 1,376,170,763.85 = 917,447,175.90 : x
  2. Step 2: Convert to fraction form
    917,447,175.90/1,376,170,763.85 = 917,447,175.90/x
  3. Step 3: Cross multiply
    917,447,175.90x = 1,376,170,763.85 × 917,447,175.90
  4. Step 4: Simplify right side
    917,447,175.90x = 1,262,563,980,850,328,064
  5. Step 5: Solve for x
    x = 1,262,563,980,850,328,064/917,447,175.90
  6. Step 6: Final answer
    x = 1,376,170,763.85

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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.