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Finding the Fourth Proportional to 473,365,487.80, 710,048,231.70 and 279,369,839.80

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Solution

The fourth proportional to 473,365,487.80, 710,048,231.70 and 279,369,839.80 is: 419,054,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,365,487.80 : 710,048,231.70 = 279,369,839.80 : x
  2. Step 2: Convert to fraction form
    473,365,487.80/710,048,231.70 = 279,369,839.80/x
  3. Step 3: Cross multiply
    473,365,487.80x = 710,048,231.70 × 279,369,839.80
  4. Step 4: Simplify right side
    473,365,487.80x = 198,366,060,740,302,304
  5. Step 5: Solve for x
    x = 198,366,060,740,302,304/473,365,487.80
  6. Step 6: Final answer
    x = 419,054,759.70

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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.