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Finding the Fourth Proportional to 1,135,661,766.83, 1,702,059,713.32 and 575,564,326.43

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Solution

The fourth proportional to 1,135,661,766.83, 1,702,059,713.32 and 575,564,326.43 is: 862,620,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,661,766.83 : 1,702,059,713.32 = 575,564,326.43 : x
  2. Step 2: Convert to fraction form
    1,135,661,766.83/1,702,059,713.32 = 575,564,326.43/x
  3. Step 3: Cross multiply
    1,135,661,766.83x = 1,702,059,713.32 × 575,564,326.43
  4. Step 4: Simplify right side
    1,135,661,766.83x = 979,644,852,431,003,264
  5. Step 5: Solve for x
    x = 979,644,852,431,003,264/1,135,661,766.83
  6. Step 6: Final answer
    x = 862,620,263.40

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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.