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Finding the Fourth Proportional to 1,165,592,866.64, 1,608,609,849 and 663,822,866.48

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Solution

The fourth proportional to 1,165,592,866.64, 1,608,609,849 and 663,822,866.48 is: 916,127,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,592,866.64 : 1,608,609,849 = 663,822,866.48 : x
  2. Step 2: Convert to fraction form
    1,165,592,866.64/1,608,609,849 = 663,822,866.48/x
  3. Step 3: Cross multiply
    1,165,592,866.64x = 1,608,609,849 × 663,822,866.48
  4. Step 4: Simplify right side
    1,165,592,866.64x = 1,067,832,001,011,139,968
  5. Step 5: Solve for x
    x = 1,067,832,001,011,139,968/1,165,592,866.64
  6. Step 6: Final answer
    x = 916,127,776.32

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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.