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Finding the Fourth Proportional to 563,599,092.60, 845,398,638.90 and 409,920,449.40

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Solution

The fourth proportional to 563,599,092.60, 845,398,638.90 and 409,920,449.40 is: 614,880,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,599,092.60 : 845,398,638.90 = 409,920,449.40 : x
  2. Step 2: Convert to fraction form
    563,599,092.60/845,398,638.90 = 409,920,449.40/x
  3. Step 3: Cross multiply
    563,599,092.60x = 845,398,638.90 × 409,920,449.40
  4. Step 4: Simplify right side
    563,599,092.60x = 346,546,189,980,036,288
  5. Step 5: Solve for x
    x = 346,546,189,980,036,288/563,599,092.60
  6. Step 6: Final answer
    x = 614,880,674.10

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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.