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Finding the Fourth Proportional to 598,139,704.80, 897,330,862.80 and 339,478,840.80

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Solution

The fourth proportional to 598,139,704.80, 897,330,862.80 and 339,478,840.80 is: 509,287,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,139,704.80 : 897,330,862.80 = 339,478,840.80 : x
  2. Step 2: Convert to fraction form
    598,139,704.80/897,330,862.80 = 339,478,840.80/x
  3. Step 3: Cross multiply
    598,139,704.80x = 897,330,862.80 × 339,478,840.80
  4. Step 4: Simplify right side
    598,139,704.80x = 304,624,841,117,407,808
  5. Step 5: Solve for x
    x = 304,624,841,117,407,808/598,139,704.80
  6. Step 6: Final answer
    x = 509,287,109.14

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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.