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Finding the Fourth Proportional to 45,349,740,983.40, 67,902,167,468.70 and 45,349,740,983.40

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Solution

The fourth proportional to 45,349,740,983.40, 67,902,167,468.70 and 45,349,740,983.40 is: 67,902,167,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,349,740,983.40 : 67,902,167,468.70 = 45,349,740,983.40 : x
  2. Step 2: Convert to fraction form
    45,349,740,983.40/67,902,167,468.70 = 45,349,740,983.40/x
  3. Step 3: Cross multiply
    45,349,740,983.40x = 67,902,167,468.70 × 45,349,740,983.40
  4. Step 4: Simplify right side
    45,349,740,983.40x = 3,079,345,706,916,994,613,248
  5. Step 5: Solve for x
    x = 3,079,345,706,916,994,613,248/45,349,740,983.40
  6. Step 6: Final answer
    x = 67,902,167,468.70

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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.