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Finding the Fourth Proportional to 52,172,617.40, 78,258,926.10 and 52,172,617.40

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Solution

The fourth proportional to 52,172,617.40, 78,258,926.10 and 52,172,617.40 is: 78,258,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,172,617.40 : 78,258,926.10 = 52,172,617.40 : x
  2. Step 2: Convert to fraction form
    52,172,617.40/78,258,926.10 = 52,172,617.40/x
  3. Step 3: Cross multiply
    52,172,617.40x = 78,258,926.10 × 52,172,617.40
  4. Step 4: Simplify right side
    52,172,617.40x = 4,082,973,009,550,173.50
  5. Step 5: Solve for x
    x = 4,082,973,009,550,173.50/52,172,617.40
  6. Step 6: Final answer
    x = 78,258,926.10

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Why These Related Problems?

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