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Finding the Fourth Proportional to 65,132,192,561.60, 97,698,288,842.40 and 65,132,192,561.60

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Solution

The fourth proportional to 65,132,192,561.60, 97,698,288,842.40 and 65,132,192,561.60 is: 97,698,288,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,132,192,561.60 : 97,698,288,842.40 = 65,132,192,561.60 : x
  2. Step 2: Convert to fraction form
    65,132,192,561.60/97,698,288,842.40 = 65,132,192,561.60/x
  3. Step 3: Cross multiply
    65,132,192,561.60x = 97,698,288,842.40 × 65,132,192,561.60
  4. Step 4: Simplify right side
    65,132,192,561.60x = 6,363,303,761,822,012,669,952
  5. Step 5: Solve for x
    x = 6,363,303,761,822,012,669,952/65,132,192,561.60
  6. Step 6: Final answer
    x = 97,698,288,842.40

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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.