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Finding the Fourth Proportional to 982,680,700,516.30, 1,474,021,050,774.40 and 982,680,700,516.30

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Solution

The fourth proportional to 982,680,700,516.30, 1,474,021,050,774.40 and 982,680,700,516.30 is: 1,474,021,050,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,680,700,516.30 : 1,474,021,050,774.40 = 982,680,700,516.30 : x
  2. Step 2: Convert to fraction form
    982,680,700,516.30/1,474,021,050,774.40 = 982,680,700,516.30/x
  3. Step 3: Cross multiply
    982,680,700,516.30x = 1,474,021,050,774.40 × 982,680,700,516.30
  4. Step 4: Simplify right side
    982,680,700,516.30x = 1,448,492,038,750,759,970,406,400
  5. Step 5: Solve for x
    x = 1,448,492,038,750,759,970,406,400/982,680,700,516.30
  6. Step 6: Final answer
    x = 1,474,021,050,774.40

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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.