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Finding the Fourth Proportional to 161,314,288,575.60, 241,971,432,863.40 and 161,314,288,575.60

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Solution

The fourth proportional to 161,314,288,575.60, 241,971,432,863.40 and 161,314,288,575.60 is: 241,971,432,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,314,288,575.60 : 241,971,432,863.40 = 161,314,288,575.60 : x
  2. Step 2: Convert to fraction form
    161,314,288,575.60/241,971,432,863.40 = 161,314,288,575.60/x
  3. Step 3: Cross multiply
    161,314,288,575.60x = 241,971,432,863.40 × 161,314,288,575.60
  4. Step 4: Simplify right side
    161,314,288,575.60x = 39,033,449,547,977,925,328,896
  5. Step 5: Solve for x
    x = 39,033,449,547,977,925,328,896/161,314,288,575.60
  6. Step 6: Final answer
    x = 241,971,432,863.40

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Double scale
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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.