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Finding the Fourth Proportional to 1,001,645,999.40, 1,502,468,999.10 and 894,507,493.80

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Solution

The fourth proportional to 1,001,645,999.40, 1,502,468,999.10 and 894,507,493.80 is: 1,341,761,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,645,999.40 : 1,502,468,999.10 = 894,507,493.80 : x
  2. Step 2: Convert to fraction form
    1,001,645,999.40/1,502,468,999.10 = 894,507,493.80/x
  3. Step 3: Cross multiply
    1,001,645,999.40x = 1,502,468,999.10 × 894,507,493.80
  4. Step 4: Simplify right side
    1,001,645,999.40x = 1,343,969,778,897,135,360
  5. Step 5: Solve for x
    x = 1,343,969,778,897,135,360/1,001,645,999.40
  6. Step 6: Final answer
    x = 1,341,761,240.70

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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.