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Finding the Fourth Proportional to 1,157,706,440.64, 1,597,644,978.48 and 629,070,425.28

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Solution

The fourth proportional to 1,157,706,440.64, 1,597,644,978.48 and 629,070,425.28 is: 868,122,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,706,440.64 : 1,597,644,978.48 = 629,070,425.28 : x
  2. Step 2: Convert to fraction form
    1,157,706,440.64/1,597,644,978.48 = 629,070,425.28/x
  3. Step 3: Cross multiply
    1,157,706,440.64x = 1,597,644,978.48 × 629,070,425.28
  4. Step 4: Simplify right side
    1,157,706,440.64x = 1,005,031,206,058,870,016
  5. Step 5: Solve for x
    x = 1,005,031,206,058,870,016/1,157,706,440.64
  6. Step 6: Final answer
    x = 868,122,669.77

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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.