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Finding the Fourth Proportional to 896,814,598.56, 1,237,604,916.60 and 500,337,649.62

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Solution

The fourth proportional to 896,814,598.56, 1,237,604,916.60 and 500,337,649.62 is: 690,466,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,814,598.56 : 1,237,604,916.60 = 500,337,649.62 : x
  2. Step 2: Convert to fraction form
    896,814,598.56/1,237,604,916.60 = 500,337,649.62/x
  3. Step 3: Cross multiply
    896,814,598.56x = 1,237,604,916.60 × 500,337,649.62
  4. Step 4: Simplify right side
    896,814,598.56x = 619,220,335,129,800,064
  5. Step 5: Solve for x
    x = 619,220,335,129,800,064/896,814,598.56
  6. Step 6: Final answer
    x = 690,466,386.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.