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Finding the Fourth Proportional to 97,055,103,325.10, 145,582,654,987.65 and 97,055,103,325.10

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Solution

The fourth proportional to 97,055,103,325.10, 145,582,654,987.65 and 97,055,103,325.10 is: 145,582,654,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,055,103,325.10 : 145,582,654,987.65 = 97,055,103,325.10 : x
  2. Step 2: Convert to fraction form
    97,055,103,325.10/145,582,654,987.65 = 97,055,103,325.10/x
  3. Step 3: Cross multiply
    97,055,103,325.10x = 145,582,654,987.65 × 97,055,103,325.10
  4. Step 4: Simplify right side
    97,055,103,325.10x = 14,129,539,622,168,755,699,712
  5. Step 5: Solve for x
    x = 14,129,539,622,168,755,699,712/97,055,103,325.10
  6. Step 6: Final answer
    x = 145,582,654,987.65

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Double scale
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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.