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Finding the Fourth Proportional to 502,014,897,014.15, 753,022,345,521.30 and 502,014,897,014.15

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Solution

The fourth proportional to 502,014,897,014.15, 753,022,345,521.30 and 502,014,897,014.15 is: 753,022,345,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,014,897,014.15 : 753,022,345,521.30 = 502,014,897,014.15 : x
  2. Step 2: Convert to fraction form
    502,014,897,014.15/753,022,345,521.30 = 502,014,897,014.15/x
  3. Step 3: Cross multiply
    502,014,897,014.15x = 753,022,345,521.30 × 502,014,897,014.15
  4. Step 4: Simplify right side
    502,014,897,014.15x = 378,028,435,236,229,165,875,200
  5. Step 5: Solve for x
    x = 378,028,435,236,229,165,875,200/502,014,897,014.15
  6. Step 6: Final answer
    x = 753,022,345,521.30

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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.