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Finding the Fourth Proportional to 97,021,168,412.60, 145,531,752,618.90 and 97,021,168,412.60

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Solution

The fourth proportional to 97,021,168,412.60, 145,531,752,618.90 and 97,021,168,412.60 is: 145,531,752,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,021,168,412.60 : 145,531,752,618.90 = 97,021,168,412.60 : x
  2. Step 2: Convert to fraction form
    97,021,168,412.60/145,531,752,618.90 = 97,021,168,412.60/x
  3. Step 3: Cross multiply
    97,021,168,412.60x = 145,531,752,618.90 × 97,021,168,412.60
  4. Step 4: Simplify right side
    97,021,168,412.60x = 14,119,660,680,219,138,719,744
  5. Step 5: Solve for x
    x = 14,119,660,680,219,138,719,744/97,021,168,412.60
  6. Step 6: Final answer
    x = 145,531,752,618.90

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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.