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Finding the Fourth Proportional to 838,471,058.20, 1,257,706,587.30 and 838,471,058.20

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Solution

The fourth proportional to 838,471,058.20, 1,257,706,587.30 and 838,471,058.20 is: 1,257,706,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,471,058.20 : 1,257,706,587.30 = 838,471,058.20 : x
  2. Step 2: Convert to fraction form
    838,471,058.20/1,257,706,587.30 = 838,471,058.20/x
  3. Step 3: Cross multiply
    838,471,058.20x = 1,257,706,587.30 × 838,471,058.20
  4. Step 4: Simplify right side
    838,471,058.20x = 1,054,550,573,158,541,696
  5. Step 5: Solve for x
    x = 1,054,550,573,158,541,696/838,471,058.20
  6. Step 6: Final answer
    x = 1,257,706,587.30

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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.