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Finding the Fourth Proportional to 30,292,314,353.30, 45,438,471,529.95 and 30,292,314,353.30

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Solution

The fourth proportional to 30,292,314,353.30, 45,438,471,529.95 and 30,292,314,353.30 is: 45,438,471,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292,314,353.30 : 45,438,471,529.95 = 30,292,314,353.30 : x
  2. Step 2: Convert to fraction form
    30,292,314,353.30/45,438,471,529.95 = 30,292,314,353.30/x
  3. Step 3: Cross multiply
    30,292,314,353.30x = 45,438,471,529.95 × 30,292,314,353.30
  4. Step 4: Simplify right side
    30,292,314,353.30x = 1,376,436,463,318,717,693,952
  5. Step 5: Solve for x
    x = 1,376,436,463,318,717,693,952/30,292,314,353.30
  6. Step 6: Final answer
    x = 45,438,471,529.95

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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.