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Finding the Fourth Proportional to 488,585,128.40, 732,877,692.60 and 412,057,624.40

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Solution

The fourth proportional to 488,585,128.40, 732,877,692.60 and 412,057,624.40 is: 618,086,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,585,128.40 : 732,877,692.60 = 412,057,624.40 : x
  2. Step 2: Convert to fraction form
    488,585,128.40/732,877,692.60 = 412,057,624.40/x
  3. Step 3: Cross multiply
    488,585,128.40x = 732,877,692.60 × 412,057,624.40
  4. Step 4: Simplify right side
    488,585,128.40x = 301,987,840,988,509,440
  5. Step 5: Solve for x
    x = 301,987,840,988,509,440/488,585,128.40
  6. Step 6: Final answer
    x = 618,086,436.60

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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.