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Finding the Fourth Proportional to 14,427,642,966.40, 21,641,464,449.60 and 14,427,642,966.40

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Solution

The fourth proportional to 14,427,642,966.40, 21,641,464,449.60 and 14,427,642,966.40 is: 21,641,464,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427,642,966.40 : 21,641,464,449.60 = 14,427,642,966.40 : x
  2. Step 2: Convert to fraction form
    14,427,642,966.40/21,641,464,449.60 = 14,427,642,966.40/x
  3. Step 3: Cross multiply
    14,427,642,966.40x = 21,641,464,449.60 × 14,427,642,966.40
  4. Step 4: Simplify right side
    14,427,642,966.40x = 312,235,322,348,867,026,944
  5. Step 5: Solve for x
    x = 312,235,322,348,867,026,944/14,427,642,966.40
  6. Step 6: Final answer
    x = 21,641,464,449.60

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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.