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Finding the Fourth Proportional to 916,165,564.88, 1,375,539,748.92 and 657,239,636.48

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Solution

The fourth proportional to 916,165,564.88, 1,375,539,748.92 and 657,239,636.48 is: 986,785,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,165,564.88 : 1,375,539,748.92 = 657,239,636.48 : x
  2. Step 2: Convert to fraction form
    916,165,564.88/1,375,539,748.92 = 657,239,636.48/x
  3. Step 3: Cross multiply
    916,165,564.88x = 1,375,539,748.92 × 657,239,636.48
  4. Step 4: Simplify right side
    916,165,564.88x = 904,059,244,543,971,328
  5. Step 5: Solve for x
    x = 904,059,244,543,971,328/916,165,564.88
  6. Step 6: Final answer
    x = 986,785,881.50

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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.