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Finding the Fourth Proportional to 76,807,718,140.45, 115,211,577,210.67 and 76,807,718,140.45

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Solution

The fourth proportional to 76,807,718,140.45, 115,211,577,210.67 and 76,807,718,140.45 is: 115,211,577,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807,718,140.45 : 115,211,577,210.67 = 76,807,718,140.45 : x
  2. Step 2: Convert to fraction form
    76,807,718,140.45/115,211,577,210.67 = 76,807,718,140.45/x
  3. Step 3: Cross multiply
    76,807,718,140.45x = 115,211,577,210.67 × 76,807,718,140.45
  4. Step 4: Simplify right side
    76,807,718,140.45x = 8,849,138,348,913,833,541,632
  5. Step 5: Solve for x
    x = 8,849,138,348,913,833,541,632/76,807,718,140.45
  6. Step 6: Final answer
    x = 115,211,577,210.67

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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.