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Finding the Fourth Proportional to 102,315,376.80, 153,473,065.20 and 102,315,376.80

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Solution

The fourth proportional to 102,315,376.80, 153,473,065.20 and 102,315,376.80 is: 153,473,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,315,376.80 : 153,473,065.20 = 102,315,376.80 : x
  2. Step 2: Convert to fraction form
    102,315,376.80/153,473,065.20 = 102,315,376.80/x
  3. Step 3: Cross multiply
    102,315,376.80x = 153,473,065.20 × 102,315,376.80
  4. Step 4: Simplify right side
    102,315,376.80x = 15,702,654,494,588,966
  5. Step 5: Solve for x
    x = 15,702,654,494,588,966/102,315,376.80
  6. Step 6: Final answer
    x = 153,473,065.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.