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Finding the Fourth Proportional to 650,642,315,999.60, 975,963,473,999.40 and 650,642,315,999.60

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Solution

The fourth proportional to 650,642,315,999.60, 975,963,473,999.40 and 650,642,315,999.60 is: 975,963,473,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,642,315,999.60 : 975,963,473,999.40 = 650,642,315,999.60 : x
  2. Step 2: Convert to fraction form
    650,642,315,999.60/975,963,473,999.40 = 650,642,315,999.60/x
  3. Step 3: Cross multiply
    650,642,315,999.60x = 975,963,473,999.40 × 650,642,315,999.60
  4. Step 4: Simplify right side
    650,642,315,999.60x = 635,003,135,053,985,025,622,016
  5. Step 5: Solve for x
    x = 635,003,135,053,985,025,622,016/650,642,315,999.60
  6. Step 6: Final answer
    x = 975,963,473,999.40

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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.