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Finding the Fourth Proportional to 24,097,152,024.30, 36,145,728,036.45 and 24,097,152,024.30

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Solution

The fourth proportional to 24,097,152,024.30, 36,145,728,036.45 and 24,097,152,024.30 is: 36,145,728,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097,152,024.30 : 36,145,728,036.45 = 24,097,152,024.30 : x
  2. Step 2: Convert to fraction form
    24,097,152,024.30/36,145,728,036.45 = 24,097,152,024.30/x
  3. Step 3: Cross multiply
    24,097,152,024.30x = 36,145,728,036.45 × 24,097,152,024.30
  4. Step 4: Simplify right side
    24,097,152,024.30x = 871,009,103,523,338,256,384
  5. Step 5: Solve for x
    x = 871,009,103,523,338,256,384/24,097,152,024.30
  6. Step 6: Final answer
    x = 36,145,728,036.45

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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.