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Finding the Fourth Proportional to 37,142,495,998.40, 55,713,743,997.60 and 37,142,495,998.40

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Solution

The fourth proportional to 37,142,495,998.40, 55,713,743,997.60 and 37,142,495,998.40 is: 55,713,743,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142,495,998.40 : 55,713,743,997.60 = 37,142,495,998.40 : x
  2. Step 2: Convert to fraction form
    37,142,495,998.40/55,713,743,997.60 = 37,142,495,998.40/x
  3. Step 3: Cross multiply
    37,142,495,998.40x = 55,713,743,997.60 × 37,142,495,998.40
  4. Step 4: Simplify right side
    37,142,495,998.40x = 2,069,347,513,486,740,029,440
  5. Step 5: Solve for x
    x = 2,069,347,513,486,740,029,440/37,142,495,998.40
  6. Step 6: Final answer
    x = 55,713,743,997.60

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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.