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Finding the Fourth Proportional to 96,536,772,605.20, 144,805,158,907.80 and 96,536,772,605.20

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Solution

The fourth proportional to 96,536,772,605.20, 144,805,158,907.80 and 96,536,772,605.20 is: 144,805,158,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536,772,605.20 : 144,805,158,907.80 = 96,536,772,605.20 : x
  2. Step 2: Convert to fraction form
    96,536,772,605.20/144,805,158,907.80 = 96,536,772,605.20/x
  3. Step 3: Cross multiply
    96,536,772,605.20x = 144,805,158,907.80 × 96,536,772,605.20
  4. Step 4: Simplify right side
    96,536,772,605.20x = 13,979,022,697,542,138,724,352
  5. Step 5: Solve for x
    x = 13,979,022,697,542,138,724,352/96,536,772,605.20
  6. Step 6: Final answer
    x = 144,805,158,907.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.