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Finding the Fourth Proportional to 553,612,359.60, 830,355,553.80 and 144,709,844.40

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Solution

The fourth proportional to 553,612,359.60, 830,355,553.80 and 144,709,844.40 is: 217,048,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,612,359.60 : 830,355,553.80 = 144,709,844.40 : x
  2. Step 2: Convert to fraction form
    553,612,359.60/830,355,553.80 = 144,709,844.40/x
  3. Step 3: Cross multiply
    553,612,359.60x = 830,355,553.80 × 144,709,844.40
  4. Step 4: Simplify right side
    553,612,359.60x = 120,160,622,987,073,824
  5. Step 5: Solve for x
    x = 120,160,622,987,073,824/553,612,359.60
  6. Step 6: Final answer
    x = 217,048,302.67

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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.