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Finding the Fourth Proportional to 402,906,220.80, 604,807,228.80 and 249,725,241.60

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Solution

The fourth proportional to 402,906,220.80, 604,807,228.80 and 249,725,241.60 is: 374,865,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,906,220.80 : 604,807,228.80 = 249,725,241.60 : x
  2. Step 2: Convert to fraction form
    402,906,220.80/604,807,228.80 = 249,725,241.60/x
  3. Step 3: Cross multiply
    402,906,220.80x = 604,807,228.80 × 249,725,241.60
  4. Step 4: Simplify right side
    402,906,220.80x = 151,035,631,333,506,464
  5. Step 5: Solve for x
    x = 151,035,631,333,506,464/402,906,220.80
  6. Step 6: Final answer
    x = 374,865,473.74

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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.