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Finding the Fourth Proportional to 69,996,317.40, 97,768,096.20 and 69,996,317.40

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Solution

The fourth proportional to 69,996,317.40, 97,768,096.20 and 69,996,317.40 is: 97,768,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,996,317.40 : 97,768,096.20 = 69,996,317.40 : x
  2. Step 2: Convert to fraction form
    69,996,317.40/97,768,096.20 = 69,996,317.40/x
  3. Step 3: Cross multiply
    69,996,317.40x = 97,768,096.20 × 69,996,317.40
  4. Step 4: Simplify right side
    69,996,317.40x = 6,843,406,693,208,935
  5. Step 5: Solve for x
    x = 6,843,406,693,208,935/69,996,317.40
  6. Step 6: Final answer
    x = 97,768,096.20

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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.