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Finding the Fourth Proportional to 498,210,999.15, 747,316,498.73 and 498,210,999.15

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Solution

The fourth proportional to 498,210,999.15, 747,316,498.73 and 498,210,999.15 is: 747,316,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,210,999.15 : 747,316,498.73 = 498,210,999.15 : x
  2. Step 2: Convert to fraction form
    498,210,999.15/747,316,498.73 = 498,210,999.15/x
  3. Step 3: Cross multiply
    498,210,999.15x = 747,316,498.73 × 498,210,999.15
  4. Step 4: Simplify right side
    498,210,999.15x = 372,321,299,511,061,952
  5. Step 5: Solve for x
    x = 372,321,299,511,061,952/498,210,999.15
  6. Step 6: Final answer
    x = 747,316,498.73

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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.