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Finding the Fourth Proportional to 209,952,281.70, 314,928,422.55 and 185,293,419.30

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Solution

The fourth proportional to 209,952,281.70, 314,928,422.55 and 185,293,419.30 is: 277,940,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,281.70 : 314,928,422.55 = 185,293,419.30 : x
  2. Step 2: Convert to fraction form
    209,952,281.70/314,928,422.55 = 185,293,419.30/x
  3. Step 3: Cross multiply
    209,952,281.70x = 314,928,422.55 × 185,293,419.30
  4. Step 4: Simplify right side
    209,952,281.70x = 58,354,164,249,044,728
  5. Step 5: Solve for x
    x = 58,354,164,249,044,728/209,952,281.70
  6. Step 6: Final answer
    x = 277,940,128.95

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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.