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Finding the Fourth Proportional to 24,757,644,117.60, 37,136,466,176.40 and 24,757,644,117.60

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Solution

The fourth proportional to 24,757,644,117.60, 37,136,466,176.40 and 24,757,644,117.60 is: 37,136,466,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757,644,117.60 : 37,136,466,176.40 = 24,757,644,117.60 : x
  2. Step 2: Convert to fraction form
    24,757,644,117.60/37,136,466,176.40 = 24,757,644,117.60/x
  3. Step 3: Cross multiply
    24,757,644,117.60x = 37,136,466,176.40 × 24,757,644,117.60
  4. Step 4: Simplify right side
    24,757,644,117.60x = 919,411,413,380,600,823,808
  5. Step 5: Solve for x
    x = 919,411,413,380,600,823,808/24,757,644,117.60
  6. Step 6: Final answer
    x = 37,136,466,176.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.