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Finding the Fourth Proportional to 435,657,772.80, 653,470,912.80 and 176,865,688.80

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Solution

The fourth proportional to 435,657,772.80, 653,470,912.80 and 176,865,688.80 is: 265,292,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,657,772.80 : 653,470,912.80 = 176,865,688.80 : x
  2. Step 2: Convert to fraction form
    435,657,772.80/653,470,912.80 = 176,865,688.80/x
  3. Step 3: Cross multiply
    435,657,772.80x = 653,470,912.80 × 176,865,688.80
  4. Step 4: Simplify right side
    435,657,772.80x = 115,576,583,103,136,736
  5. Step 5: Solve for x
    x = 115,576,583,103,136,736/435,657,772.80
  6. Step 6: Final answer
    x = 265,292,140.57

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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.