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Finding the Fourth Proportional to 665,343,178.40, 998,014,767.60 and 493,156,294.40

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Solution

The fourth proportional to 665,343,178.40, 998,014,767.60 and 493,156,294.40 is: 739,734,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,343,178.40 : 998,014,767.60 = 493,156,294.40 : x
  2. Step 2: Convert to fraction form
    665,343,178.40/998,014,767.60 = 493,156,294.40/x
  3. Step 3: Cross multiply
    665,343,178.40x = 998,014,767.60 × 493,156,294.40
  4. Step 4: Simplify right side
    665,343,178.40x = 492,177,264,546,093,184
  5. Step 5: Solve for x
    x = 492,177,264,546,093,184/665,343,178.40
  6. Step 6: Final answer
    x = 739,734,441.60

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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.