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Finding the Fourth Proportional to 13,648,522,095.23, 20,472,783,142.84 and 13,648,522,095.23

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Solution

The fourth proportional to 13,648,522,095.23, 20,472,783,142.84 and 13,648,522,095.23 is: 20,472,783,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648,522,095.23 : 20,472,783,142.84 = 13,648,522,095.23 : x
  2. Step 2: Convert to fraction form
    13,648,522,095.23/20,472,783,142.84 = 13,648,522,095.23/x
  3. Step 3: Cross multiply
    13,648,522,095.23x = 20,472,783,142.84 × 13,648,522,095.23
  4. Step 4: Simplify right side
    13,648,522,095.23x = 279,423,233,075,774,390,272
  5. Step 5: Solve for x
    x = 279,423,233,075,774,390,272/13,648,522,095.23
  6. Step 6: Final answer
    x = 20,472,783,142.84

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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.