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Finding the Fourth Proportional to 653,208,969.60, 977,545,972.80 and 598,789,411.20

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Solution

The fourth proportional to 653,208,969.60, 977,545,972.80 and 598,789,411.20 is: 896,105,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,208,969.60 : 977,545,972.80 = 598,789,411.20 : x
  2. Step 2: Convert to fraction form
    653,208,969.60/977,545,972.80 = 598,789,411.20/x
  3. Step 3: Cross multiply
    653,208,969.60x = 977,545,972.80 × 598,789,411.20
  4. Step 4: Simplify right side
    653,208,969.60x = 585,344,177,473,843,200
  5. Step 5: Solve for x
    x = 585,344,177,473,843,200/653,208,969.60
  6. Step 6: Final answer
    x = 896,105,541.59

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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.