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Finding the Fourth Proportional to 34,012,275,346.35, 51,018,413,019.53 and 34,012,275,346.35

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Solution

The fourth proportional to 34,012,275,346.35, 51,018,413,019.53 and 34,012,275,346.35 is: 51,018,413,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012,275,346.35 : 51,018,413,019.53 = 34,012,275,346.35 : x
  2. Step 2: Convert to fraction form
    34,012,275,346.35/51,018,413,019.53 = 34,012,275,346.35/x
  3. Step 3: Cross multiply
    34,012,275,346.35x = 51,018,413,019.53 × 34,012,275,346.35
  4. Step 4: Simplify right side
    34,012,275,346.35x = 1,735,252,311,353,892,012,032
  5. Step 5: Solve for x
    x = 1,735,252,311,353,892,012,032/34,012,275,346.35
  6. Step 6: Final answer
    x = 51,018,413,019.53

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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.