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Finding the Fourth Proportional to 542,592,628.40, 813,888,942.60 and 521,429,466.80

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Solution

The fourth proportional to 542,592,628.40, 813,888,942.60 and 521,429,466.80 is: 782,144,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,592,628.40 : 813,888,942.60 = 521,429,466.80 : x
  2. Step 2: Convert to fraction form
    542,592,628.40/813,888,942.60 = 521,429,466.80/x
  3. Step 3: Cross multiply
    542,592,628.40x = 813,888,942.60 × 521,429,466.80
  4. Step 4: Simplify right side
    542,592,628.40x = 424,385,677,374,333,824
  5. Step 5: Solve for x
    x = 424,385,677,374,333,824/542,592,628.40
  6. Step 6: Final answer
    x = 782,144,200.20

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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.