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Finding the Fourth Proportional to 965,695,711.61, 1,332,692,271.52 and 542,383,969.84

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Solution

The fourth proportional to 965,695,711.61, 1,332,692,271.52 and 542,383,969.84 is: 748,507,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,695,711.61 : 1,332,692,271.52 = 542,383,969.84 : x
  2. Step 2: Convert to fraction form
    965,695,711.61/1,332,692,271.52 = 542,383,969.84/x
  3. Step 3: Cross multiply
    965,695,711.61x = 1,332,692,271.52 × 542,383,969.84
  4. Step 4: Simplify right side
    965,695,711.61x = 722,830,924,797,416,960
  5. Step 5: Solve for x
    x = 722,830,924,797,416,960/965,695,711.61
  6. Step 6: Final answer
    x = 748,507,957.64

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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.