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Finding the Fourth Proportional to 48,499,236,019.60, 72,748,854,029.40 and 48,499,236,019.60

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Solution

The fourth proportional to 48,499,236,019.60, 72,748,854,029.40 and 48,499,236,019.60 is: 72,748,854,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,499,236,019.60 : 72,748,854,029.40 = 48,499,236,019.60 : x
  2. Step 2: Convert to fraction form
    48,499,236,019.60/72,748,854,029.40 = 48,499,236,019.60/x
  3. Step 3: Cross multiply
    48,499,236,019.60x = 72,748,854,029.40 × 48,499,236,019.60
  4. Step 4: Simplify right side
    48,499,236,019.60x = 3,528,263,841,727,298,666,496
  5. Step 5: Solve for x
    x = 3,528,263,841,727,298,666,496/48,499,236,019.60
  6. Step 6: Final answer
    x = 72,748,854,029.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.