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Finding the Fourth Proportional to 982,680,700,543.02, 1,474,021,050,814.50 and 982,680,700,543.02

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Solution

The fourth proportional to 982,680,700,543.02, 1,474,021,050,814.50 and 982,680,700,543.02 is: 1,474,021,050,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,680,700,543.02 : 1,474,021,050,814.50 = 982,680,700,543.02 : x
  2. Step 2: Convert to fraction form
    982,680,700,543.02/1,474,021,050,814.50 = 982,680,700,543.02/x
  3. Step 3: Cross multiply
    982,680,700,543.02x = 1,474,021,050,814.50 × 982,680,700,543.02
  4. Step 4: Simplify right side
    982,680,700,543.02x = 1,448,492,038,829,551,413,886,976
  5. Step 5: Solve for x
    x = 1,448,492,038,829,551,413,886,976/982,680,700,543.02
  6. Step 6: Final answer
    x = 1,474,021,050,814.50

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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.