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Finding the Fourth Proportional to 23,184,144,476.40, 34,776,216,714.60 and 23,184,144,476.40

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Solution

The fourth proportional to 23,184,144,476.40, 34,776,216,714.60 and 23,184,144,476.40 is: 34,776,216,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184,144,476.40 : 34,776,216,714.60 = 23,184,144,476.40 : x
  2. Step 2: Convert to fraction form
    23,184,144,476.40/34,776,216,714.60 = 23,184,144,476.40/x
  3. Step 3: Cross multiply
    23,184,144,476.40x = 34,776,216,714.60 × 23,184,144,476.40
  4. Step 4: Simplify right side
    23,184,144,476.40x = 806,256,832,653,882,949,632
  5. Step 5: Solve for x
    x = 806,256,832,653,882,949,632/23,184,144,476.40
  6. Step 6: Final answer
    x = 34,776,216,714.60

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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.