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Finding the Fourth Proportional to 559,315,773,010.80, 838,973,659,516.20 and 559,315,773,010.80

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Solution

The fourth proportional to 559,315,773,010.80, 838,973,659,516.20 and 559,315,773,010.80 is: 838,973,659,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,315,773,010.80 : 838,973,659,516.20 = 559,315,773,010.80 : x
  2. Step 2: Convert to fraction form
    559,315,773,010.80/838,973,659,516.20 = 559,315,773,010.80/x
  3. Step 3: Cross multiply
    559,315,773,010.80x = 838,973,659,516.20 × 559,315,773,010.80
  4. Step 4: Simplify right side
    559,315,773,010.80x = 469,251,200,908,003,108,716,544
  5. Step 5: Solve for x
    x = 469,251,200,908,003,108,716,544/559,315,773,010.80
  6. Step 6: Final answer
    x = 838,973,659,516.20

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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.