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Finding the Fourth Proportional to 30,267,288,002.55, 45,400,932,003.83 and 30,267,288,002.55

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Solution

The fourth proportional to 30,267,288,002.55, 45,400,932,003.83 and 30,267,288,002.55 is: 45,400,932,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267,288,002.55 : 45,400,932,003.83 = 30,267,288,002.55 : x
  2. Step 2: Convert to fraction form
    30,267,288,002.55/45,400,932,003.83 = 30,267,288,002.55/x
  3. Step 3: Cross multiply
    30,267,288,002.55x = 45,400,932,003.83 × 30,267,288,002.55
  4. Step 4: Simplify right side
    30,267,288,002.55x = 1,374,163,084,543,960,547,328
  5. Step 5: Solve for x
    x = 1,374,163,084,543,960,547,328/30,267,288,002.55
  6. Step 6: Final answer
    x = 45,400,932,003.83

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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.