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Finding the Fourth Proportional to 105,849,648,000.10, 158,774,472,000.15 and 105,849,648,000.10

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Solution

The fourth proportional to 105,849,648,000.10, 158,774,472,000.15 and 105,849,648,000.10 is: 158,774,472,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,849,648,000.10 : 158,774,472,000.15 = 105,849,648,000.10 : x
  2. Step 2: Convert to fraction form
    105,849,648,000.10/158,774,472,000.15 = 105,849,648,000.10/x
  3. Step 3: Cross multiply
    105,849,648,000.10x = 158,774,472,000.15 × 105,849,648,000.10
  4. Step 4: Simplify right side
    105,849,648,000.10x = 16,806,221,972,617,610,395,648
  5. Step 5: Solve for x
    x = 16,806,221,972,617,610,395,648/105,849,648,000.10
  6. Step 6: Final answer
    x = 158,774,472,000.15

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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.