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Finding the Fourth Proportional to 498,210,006.65, 747,315,009.98 and 498,210,006.65

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Solution

The fourth proportional to 498,210,006.65, 747,315,009.98 and 498,210,006.65 is: 747,315,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,210,006.65 : 747,315,009.98 = 498,210,006.65 : x
  2. Step 2: Convert to fraction form
    498,210,006.65/747,315,009.98 = 498,210,006.65/x
  3. Step 3: Cross multiply
    498,210,006.65x = 747,315,009.98 × 498,210,006.65
  4. Step 4: Simplify right side
    498,210,006.65x = 372,319,816,091,780,608
  5. Step 5: Solve for x
    x = 372,319,816,091,780,608/498,210,006.65
  6. Step 6: Final answer
    x = 747,315,009.98

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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.