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Finding the Fourth Proportional to 651,769,732.80, 977,827,809.60 and 283,146,508.80

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Solution

The fourth proportional to 651,769,732.80, 977,827,809.60 and 283,146,508.80 is: 424,795,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,769,732.80 : 977,827,809.60 = 283,146,508.80 : x
  2. Step 2: Convert to fraction form
    651,769,732.80/977,827,809.60 = 283,146,508.80/x
  3. Step 3: Cross multiply
    651,769,732.80x = 977,827,809.60 × 283,146,508.80
  4. Step 4: Simplify right side
    651,769,732.80x = 276,868,530,495,791,136
  5. Step 5: Solve for x
    x = 276,868,530,495,791,136/651,769,732.80
  6. Step 6: Final answer
    x = 424,795,010.51

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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.