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Finding the Fourth Proportional to 105,772,005.40, 158,359,409.70 and 105,772,005.40

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Solution

The fourth proportional to 105,772,005.40, 158,359,409.70 and 105,772,005.40 is: 158,359,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,772,005.40 : 158,359,409.70 = 105,772,005.40 : x
  2. Step 2: Convert to fraction form
    105,772,005.40/158,359,409.70 = 105,772,005.40/x
  3. Step 3: Cross multiply
    105,772,005.40x = 158,359,409.70 × 105,772,005.40
  4. Step 4: Simplify right side
    105,772,005.40x = 16,749,992,337,929,212
  5. Step 5: Solve for x
    x = 16,749,992,337,929,212/105,772,005.40
  6. Step 6: Final answer
    x = 158,359,409.70

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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.