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Finding the Fourth Proportional to 97,055,103,345.60, 145,582,655,018.40 and 97,055,103,345.60

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Solution

The fourth proportional to 97,055,103,345.60, 145,582,655,018.40 and 97,055,103,345.60 is: 145,582,655,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,055,103,345.60 : 145,582,655,018.40 = 97,055,103,345.60 : x
  2. Step 2: Convert to fraction form
    97,055,103,345.60/145,582,655,018.40 = 97,055,103,345.60/x
  3. Step 3: Cross multiply
    97,055,103,345.60x = 145,582,655,018.40 × 97,055,103,345.60
  4. Step 4: Simplify right side
    97,055,103,345.60x = 14,129,539,628,137,644,556,288
  5. Step 5: Solve for x
    x = 14,129,539,628,137,644,556,288/97,055,103,345.60
  6. Step 6: Final answer
    x = 145,582,655,018.40

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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.