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Finding the Fourth Proportional to 108,110,205,951.60, 162,165,308,927.40 and 108,110,205,951.60

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Solution

The fourth proportional to 108,110,205,951.60, 162,165,308,927.40 and 108,110,205,951.60 is: 162,165,308,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,110,205,951.60 : 162,165,308,927.40 = 108,110,205,951.60 : x
  2. Step 2: Convert to fraction form
    108,110,205,951.60/162,165,308,927.40 = 108,110,205,951.60/x
  3. Step 3: Cross multiply
    108,110,205,951.60x = 162,165,308,927.40 × 108,110,205,951.60
  4. Step 4: Simplify right side
    108,110,205,951.60x = 17,531,724,946,346,052,943,872
  5. Step 5: Solve for x
    x = 17,531,724,946,346,052,943,872/108,110,205,951.60
  6. Step 6: Final answer
    x = 162,165,308,927.40

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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.