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Finding the Fourth Proportional to 105,706,043.10, 158,559,064.65 and 105,706,043.10

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Solution

The fourth proportional to 105,706,043.10, 158,559,064.65 and 105,706,043.10 is: 158,559,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,706,043.10 : 158,559,064.65 = 105,706,043.10 : x
  2. Step 2: Convert to fraction form
    105,706,043.10/158,559,064.65 = 105,706,043.10/x
  3. Step 3: Cross multiply
    105,706,043.10x = 158,559,064.65 × 105,706,043.10
  4. Step 4: Simplify right side
    105,706,043.10x = 16,760,651,321,788,586
  5. Step 5: Solve for x
    x = 16,760,651,321,788,586/105,706,043.10
  6. Step 6: Final answer
    x = 158,559,064.65

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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.