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Finding the Fourth Proportional to 868,920,441, 1,199,101,778.18 and 472,443,425.32

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Solution

The fourth proportional to 868,920,441, 1,199,101,778.18 and 472,443,425.32 is: 651,967,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,920,441 : 1,199,101,778.18 = 472,443,425.32 : x
  2. Step 2: Convert to fraction form
    868,920,441/1,199,101,778.18 = 472,443,425.32/x
  3. Step 3: Cross multiply
    868,920,441x = 1,199,101,778.18 × 472,443,425.32
  4. Step 4: Simplify right side
    868,920,441x = 566,507,751,390,662,080
  5. Step 5: Solve for x
    x = 566,507,751,390,662,080/868,920,441
  6. Step 6: Final answer
    x = 651,967,343.22

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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.