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Finding the Fourth Proportional to 356,189,964,159.16, 534,284,946,238.70 and 356,189,964,159.16

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Solution

The fourth proportional to 356,189,964,159.16, 534,284,946,238.70 and 356,189,964,159.16 is: 534,284,946,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,189,964,159.16 : 534,284,946,238.70 = 356,189,964,159.16 : x
  2. Step 2: Convert to fraction form
    356,189,964,159.16/534,284,946,238.70 = 356,189,964,159.16/x
  3. Step 3: Cross multiply
    356,189,964,159.16x = 534,284,946,238.70 × 356,189,964,159.16
  4. Step 4: Simplify right side
    356,189,964,159.16x = 190,306,935,851,541,266,956,288
  5. Step 5: Solve for x
    x = 190,306,935,851,541,266,956,288/356,189,964,159.16
  6. Step 6: Final answer
    x = 534,284,946,238.70

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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.