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Finding the Fourth Proportional to 298,926,713.80, 448,390,070.70 and 137,683,577.80

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Solution

The fourth proportional to 298,926,713.80, 448,390,070.70 and 137,683,577.80 is: 206,525,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,926,713.80 : 448,390,070.70 = 137,683,577.80 : x
  2. Step 2: Convert to fraction form
    298,926,713.80/448,390,070.70 = 137,683,577.80/x
  3. Step 3: Cross multiply
    298,926,713.80x = 448,390,070.70 × 137,683,577.80
  4. Step 4: Simplify right side
    298,926,713.80x = 61,735,949,183,970,952
  5. Step 5: Solve for x
    x = 61,735,949,183,970,952/298,926,713.80
  6. Step 6: Final answer
    x = 206,525,366.70

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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.