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Finding the Fourth Proportional to 213,657,206.40, 294,843,412.80 and 120,834,230.40

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Solution

The fourth proportional to 213,657,206.40, 294,843,412.80 and 120,834,230.40 is: 166,749,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657,206.40 : 294,843,412.80 = 120,834,230.40 : x
  2. Step 2: Convert to fraction form
    213,657,206.40/294,843,412.80 = 120,834,230.40/x
  3. Step 3: Cross multiply
    213,657,206.40x = 294,843,412.80 × 120,834,230.40
  4. Step 4: Simplify right side
    213,657,206.40x = 35,627,176,874,197,512
  5. Step 5: Solve for x
    x = 35,627,176,874,197,512/213,657,206.40
  6. Step 6: Final answer
    x = 166,749,240.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.