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Finding the Fourth Proportional to 798,912,830.40, 1,196,577,655.20 and 798,912,830.40

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Solution

The fourth proportional to 798,912,830.40, 1,196,577,655.20 and 798,912,830.40 is: 1,196,577,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,912,830.40 : 1,196,577,655.20 = 798,912,830.40 : x
  2. Step 2: Convert to fraction form
    798,912,830.40/1,196,577,655.20 = 798,912,830.40/x
  3. Step 3: Cross multiply
    798,912,830.40x = 1,196,577,655.20 × 798,912,830.40
  4. Step 4: Simplify right side
    798,912,830.40x = 955,961,241,309,227,264
  5. Step 5: Solve for x
    x = 955,961,241,309,227,264/798,912,830.40
  6. Step 6: Final answer
    x = 1,196,577,655.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.