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Finding the Fourth Proportional to 30,651,007,964.70, 45,976,511,947.05 and 30,651,007,964.70

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Solution

The fourth proportional to 30,651,007,964.70, 45,976,511,947.05 and 30,651,007,964.70 is: 45,976,511,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651,007,964.70 : 45,976,511,947.05 = 30,651,007,964.70 : x
  2. Step 2: Convert to fraction form
    30,651,007,964.70/45,976,511,947.05 = 30,651,007,964.70/x
  3. Step 3: Cross multiply
    30,651,007,964.70x = 45,976,511,947.05 × 30,651,007,964.70
  4. Step 4: Simplify right side
    30,651,007,964.70x = 1,409,226,433,878,154,280,960
  5. Step 5: Solve for x
    x = 1,409,226,433,878,154,280,960/30,651,007,964.70
  6. Step 6: Final answer
    x = 45,976,511,947.05

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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.