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Finding the Fourth Proportional to 109,594,952,427.60, 164,392,428,641.40 and 109,594,952,427.60

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Solution

The fourth proportional to 109,594,952,427.60, 164,392,428,641.40 and 109,594,952,427.60 is: 164,392,428,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,594,952,427.60 : 164,392,428,641.40 = 109,594,952,427.60 : x
  2. Step 2: Convert to fraction form
    109,594,952,427.60/164,392,428,641.40 = 109,594,952,427.60/x
  3. Step 3: Cross multiply
    109,594,952,427.60x = 164,392,428,641.40 × 109,594,952,427.60
  4. Step 4: Simplify right side
    109,594,952,427.60x = 18,016,580,396,411,860,811,776
  5. Step 5: Solve for x
    x = 18,016,580,396,411,860,811,776/109,594,952,427.60
  6. Step 6: Final answer
    x = 164,392,428,641.40

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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.