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Finding the Fourth Proportional to 159,465,314.90, 223,402,606.30 and 159,465,314.90

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Solution

The fourth proportional to 159,465,314.90, 223,402,606.30 and 159,465,314.90 is: 223,402,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,465,314.90 : 223,402,606.30 = 159,465,314.90 : x
  2. Step 2: Convert to fraction form
    159,465,314.90/223,402,606.30 = 159,465,314.90/x
  3. Step 3: Cross multiply
    159,465,314.90x = 223,402,606.30 × 159,465,314.90
  4. Step 4: Simplify right side
    159,465,314.90x = 35,624,966,963,110,228
  5. Step 5: Solve for x
    x = 35,624,966,963,110,228/159,465,314.90
  6. Step 6: Final answer
    x = 223,402,606.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.