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Finding the Fourth Proportional to 233,142,908.40, 326,877,829.20 and 233,142,908.40

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Solution

The fourth proportional to 233,142,908.40, 326,877,829.20 and 233,142,908.40 is: 326,877,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,142,908.40 : 326,877,829.20 = 233,142,908.40 : x
  2. Step 2: Convert to fraction form
    233,142,908.40/326,877,829.20 = 233,142,908.40/x
  3. Step 3: Cross multiply
    233,142,908.40x = 326,877,829.20 × 233,142,908.40
  4. Step 4: Simplify right side
    233,142,908.40x = 76,209,247,791,166,448
  5. Step 5: Solve for x
    x = 76,209,247,791,166,448/233,142,908.40
  6. Step 6: Final answer
    x = 326,877,829.20

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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.