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Finding the Fourth Proportional to 24,264,634,758.40, 36,396,952,137.60 and 24,264,634,758.40

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Solution

The fourth proportional to 24,264,634,758.40, 36,396,952,137.60 and 24,264,634,758.40 is: 36,396,952,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264,634,758.40 : 36,396,952,137.60 = 24,264,634,758.40 : x
  2. Step 2: Convert to fraction form
    24,264,634,758.40/36,396,952,137.60 = 24,264,634,758.40/x
  3. Step 3: Cross multiply
    24,264,634,758.40x = 36,396,952,137.60 × 24,264,634,758.40
  4. Step 4: Simplify right side
    24,264,634,758.40x = 883,158,749,937,830,199,296
  5. Step 5: Solve for x
    x = 883,158,749,937,830,199,296/24,264,634,758.40
  6. Step 6: Final answer
    x = 36,396,952,137.60

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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.