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Finding the Fourth Proportional to 773,995,271.60, 1,086,654,480.40 and 773,995,271.60

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Solution

The fourth proportional to 773,995,271.60, 1,086,654,480.40 and 773,995,271.60 is: 1,086,654,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,995,271.60 : 1,086,654,480.40 = 773,995,271.60 : x
  2. Step 2: Convert to fraction form
    773,995,271.60/1,086,654,480.40 = 773,995,271.60/x
  3. Step 3: Cross multiply
    773,995,271.60x = 1,086,654,480.40 × 773,995,271.60
  4. Step 4: Simplify right side
    773,995,271.60x = 841,065,429,692,555,008
  5. Step 5: Solve for x
    x = 841,065,429,692,555,008/773,995,271.60
  6. Step 6: Final answer
    x = 1,086,654,480.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.