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Finding the Fourth Proportional to 559,873,150.40, 838,298,071.20 and 559,873,150.40

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Solution

The fourth proportional to 559,873,150.40, 838,298,071.20 and 559,873,150.40 is: 838,298,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,150.40 : 838,298,071.20 = 559,873,150.40 : x
  2. Step 2: Convert to fraction form
    559,873,150.40/838,298,071.20 = 559,873,150.40/x
  3. Step 3: Cross multiply
    559,873,150.40x = 838,298,071.20 × 559,873,150.40
  4. Step 4: Simplify right side
    559,873,150.40x = 469,340,582,096,987,520
  5. Step 5: Solve for x
    x = 469,340,582,096,987,520/559,873,150.40
  6. Step 6: Final answer
    x = 838,298,071.20

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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.