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Finding the Fourth Proportional to 434,203,428.60, 609,497,231.40 and 434,203,428.60

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Solution

The fourth proportional to 434,203,428.60, 609,497,231.40 and 434,203,428.60 is: 609,497,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,203,428.60 : 609,497,231.40 = 434,203,428.60 : x
  2. Step 2: Convert to fraction form
    434,203,428.60/609,497,231.40 = 434,203,428.60/x
  3. Step 3: Cross multiply
    434,203,428.60x = 609,497,231.40 × 434,203,428.60
  4. Step 4: Simplify right side
    434,203,428.60x = 264,645,787,596,087,584
  5. Step 5: Solve for x
    x = 264,645,787,596,087,584/434,203,428.60
  6. Step 6: Final answer
    x = 609,497,231.40

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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.