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Finding the Fourth Proportional to 402,876,461.60, 604,314,692.40 and 208,723,349.60

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Solution

The fourth proportional to 402,876,461.60, 604,314,692.40 and 208,723,349.60 is: 313,085,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,876,461.60 : 604,314,692.40 = 208,723,349.60 : x
  2. Step 2: Convert to fraction form
    402,876,461.60/604,314,692.40 = 208,723,349.60/x
  3. Step 3: Cross multiply
    402,876,461.60x = 604,314,692.40 × 208,723,349.60
  4. Step 4: Simplify right side
    402,876,461.60x = 126,134,586,810,221,648
  5. Step 5: Solve for x
    x = 126,134,586,810,221,648/402,876,461.60
  6. Step 6: Final answer
    x = 313,085,024.40

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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.