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Finding the Fourth Proportional to 542,972,705.40, 814,459,058.10 and 542,972,705.40

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Solution

The fourth proportional to 542,972,705.40, 814,459,058.10 and 542,972,705.40 is: 814,459,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,972,705.40 : 814,459,058.10 = 542,972,705.40 : x
  2. Step 2: Convert to fraction form
    542,972,705.40/814,459,058.10 = 542,972,705.40/x
  3. Step 3: Cross multiply
    542,972,705.40x = 814,459,058.10 × 542,972,705.40
  4. Step 4: Simplify right side
    542,972,705.40x = 442,229,038,214,092,800
  5. Step 5: Solve for x
    x = 442,229,038,214,092,800/542,972,705.40
  6. Step 6: Final answer
    x = 814,459,058.10

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Double scale
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Similar ratio
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1.5x scale

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.