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Finding the Fourth Proportional to 1,138,007,624.10, 1,708,286,894.55 and 880,365,027.30

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Solution

The fourth proportional to 1,138,007,624.10, 1,708,286,894.55 and 880,365,027.30 is: 1,321,534,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,007,624.10 : 1,708,286,894.55 = 880,365,027.30 : x
  2. Step 2: Convert to fraction form
    1,138,007,624.10/1,708,286,894.55 = 880,365,027.30/x
  3. Step 3: Cross multiply
    1,138,007,624.10x = 1,708,286,894.55 × 880,365,027.30
  4. Step 4: Simplify right side
    1,138,007,624.10x = 1,503,916,038,556,742,912
  5. Step 5: Solve for x
    x = 1,503,916,038,556,742,912/1,138,007,624.10
  6. Step 6: Final answer
    x = 1,321,534,238.18

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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.