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Finding the Fourth Proportional to 69,984,090.40, 97,750,978.40 and 69,984,090.40

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Solution

The fourth proportional to 69,984,090.40, 97,750,978.40 and 69,984,090.40 is: 97,750,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984,090.40 : 97,750,978.40 = 69,984,090.40 : x
  2. Step 2: Convert to fraction form
    69,984,090.40/97,750,978.40 = 69,984,090.40/x
  3. Step 3: Cross multiply
    69,984,090.40x = 97,750,978.40 × 69,984,090.40
  4. Step 4: Simplify right side
    69,984,090.40x = 6,841,013,309,034,048
  5. Step 5: Solve for x
    x = 6,841,013,309,034,048/69,984,090.40
  6. Step 6: Final answer
    x = 97,750,978.40

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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.