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Finding the Fourth Proportional to 709,993,646.40, 1,064,486,584.80 and 273,125,524.80

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Solution

The fourth proportional to 709,993,646.40, 1,064,486,584.80 and 273,125,524.80 is: 409,494,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,993,646.40 : 1,064,486,584.80 = 273,125,524.80 : x
  2. Step 2: Convert to fraction form
    709,993,646.40/1,064,486,584.80 = 273,125,524.80/x
  3. Step 3: Cross multiply
    709,993,646.40x = 1,064,486,584.80 × 273,125,524.80
  4. Step 4: Simplify right side
    709,993,646.40x = 290,738,457,116,059,712
  5. Step 5: Solve for x
    x = 290,738,457,116,059,712/709,993,646.40
  6. Step 6: Final answer
    x = 409,494,449.13

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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.