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Finding the Fourth Proportional to 645,894,010.40, 968,841,015.60 and 645,894,010.40

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Solution

The fourth proportional to 645,894,010.40, 968,841,015.60 and 645,894,010.40 is: 968,841,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,894,010.40 : 968,841,015.60 = 645,894,010.40 : x
  2. Step 2: Convert to fraction form
    645,894,010.40/968,841,015.60 = 645,894,010.40/x
  3. Step 3: Cross multiply
    645,894,010.40x = 968,841,015.60 × 645,894,010.40
  4. Step 4: Simplify right side
    645,894,010.40x = 625,768,609,005,892,992
  5. Step 5: Solve for x
    x = 625,768,609,005,892,992/645,894,010.40
  6. Step 6: Final answer
    x = 968,841,015.60

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Double scale
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Similar ratio
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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.