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Finding the Fourth Proportional to 897,121,503.60, 1,344,233,586.60 and 507,786,514.80

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Solution

The fourth proportional to 897,121,503.60, 1,344,233,586.60 and 507,786,514.80 is: 760,859,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,121,503.60 : 1,344,233,586.60 = 507,786,514.80 : x
  2. Step 2: Convert to fraction form
    897,121,503.60/1,344,233,586.60 = 507,786,514.80/x
  3. Step 3: Cross multiply
    897,121,503.60x = 1,344,233,586.60 × 507,786,514.80
  4. Step 4: Simplify right side
    897,121,503.60x = 682,583,688,016,717,952
  5. Step 5: Solve for x
    x = 682,583,688,016,717,952/897,121,503.60
  6. Step 6: Final answer
    x = 760,859,800.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.