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Finding the Fourth Proportional to 884,580,909, 1,221,163,594.40 and 550,161,227.76

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Solution

The fourth proportional to 884,580,909, 1,221,163,594.40 and 550,161,227.76 is: 759,497,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,580,909 : 1,221,163,594.40 = 550,161,227.76 : x
  2. Step 2: Convert to fraction form
    884,580,909/1,221,163,594.40 = 550,161,227.76/x
  3. Step 3: Cross multiply
    884,580,909x = 1,221,163,594.40 × 550,161,227.76
  4. Step 4: Simplify right side
    884,580,909x = 671,836,862,390,918,656
  5. Step 5: Solve for x
    x = 671,836,862,390,918,656/884,580,909
  6. Step 6: Final answer
    x = 759,497,356.95

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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.