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Finding the Fourth Proportional to 550,152,023.80, 825,228,038.94 and 550,152,023.80

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Solution

The fourth proportional to 550,152,023.80, 825,228,038.94 and 550,152,023.80 is: 825,228,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,152,023.80 : 825,228,038.94 = 550,152,023.80 : x
  2. Step 2: Convert to fraction form
    550,152,023.80/825,228,038.94 = 550,152,023.80/x
  3. Step 3: Cross multiply
    550,152,023.80x = 825,228,038.94 × 550,152,023.80
  4. Step 4: Simplify right side
    550,152,023.80x = 454,000,875,719,346,176
  5. Step 5: Solve for x
    x = 454,000,875,719,346,176/550,152,023.80
  6. Step 6: Final answer
    x = 825,228,038.94

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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.