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Finding the Fourth Proportional to 161,314,287,231.60, 241,971,430,847.40 and 161,314,287,231.60

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Solution

The fourth proportional to 161,314,287,231.60, 241,971,430,847.40 and 161,314,287,231.60 is: 241,971,430,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,314,287,231.60 : 241,971,430,847.40 = 161,314,287,231.60 : x
  2. Step 2: Convert to fraction form
    161,314,287,231.60/241,971,430,847.40 = 161,314,287,231.60/x
  3. Step 3: Cross multiply
    161,314,287,231.60x = 241,971,430,847.40 × 161,314,287,231.60
  4. Step 4: Simplify right side
    161,314,287,231.60x = 39,033,448,897,558,723,166,208
  5. Step 5: Solve for x
    x = 39,033,448,897,558,723,166,208/161,314,287,231.60
  6. Step 6: Final answer
    x = 241,971,430,847.40

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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.