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Finding the Fourth Proportional to 478,223,999.70, 717,335,999.55 and 478,223,999.70

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Solution

The fourth proportional to 478,223,999.70, 717,335,999.55 and 478,223,999.70 is: 717,335,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,223,999.70 : 717,335,999.55 = 478,223,999.70 : x
  2. Step 2: Convert to fraction form
    478,223,999.70/717,335,999.55 = 478,223,999.70/x
  3. Step 3: Cross multiply
    478,223,999.70x = 717,335,999.55 × 478,223,999.70
  4. Step 4: Simplify right side
    478,223,999.70x = 343,047,290,833,598,400
  5. Step 5: Solve for x
    x = 343,047,290,833,598,400/478,223,999.70
  6. Step 6: Final answer
    x = 717,335,999.55

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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.