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Finding the Fourth Proportional to 76,807,718,137.70, 115,211,577,206.55 and 76,807,718,137.70

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Solution

The fourth proportional to 76,807,718,137.70, 115,211,577,206.55 and 76,807,718,137.70 is: 115,211,577,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807,718,137.70 : 115,211,577,206.55 = 76,807,718,137.70 : x
  2. Step 2: Convert to fraction form
    76,807,718,137.70/115,211,577,206.55 = 76,807,718,137.70/x
  3. Step 3: Cross multiply
    76,807,718,137.70x = 115,211,577,206.55 × 76,807,718,137.70
  4. Step 4: Simplify right side
    76,807,718,137.70x = 8,849,138,348,280,554,455,040
  5. Step 5: Solve for x
    x = 8,849,138,348,280,554,455,040/76,807,718,137.70
  6. Step 6: Final answer
    x = 115,211,577,206.55

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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.