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Finding the Fourth Proportional to 103,428,295,227.60, 155,142,442,841.40 and 103,428,295,227.60

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Solution

The fourth proportional to 103,428,295,227.60, 155,142,442,841.40 and 103,428,295,227.60 is: 155,142,442,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428,295,227.60 : 155,142,442,841.40 = 103,428,295,227.60 : x
  2. Step 2: Convert to fraction form
    103,428,295,227.60/155,142,442,841.40 = 103,428,295,227.60/x
  3. Step 3: Cross multiply
    103,428,295,227.60x = 155,142,442,841.40 × 103,428,295,227.60
  4. Step 4: Simplify right side
    103,428,295,227.60x = 16,046,118,380,531,376,717,824
  5. Step 5: Solve for x
    x = 16,046,118,380,531,376,717,824/103,428,295,227.60
  6. Step 6: Final answer
    x = 155,142,442,841.40

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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.