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Finding the Fourth Proportional to 1,898,316,010.80, 2,659,456,400.40 and 1,898,316,010.80

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Solution

The fourth proportional to 1,898,316,010.80, 2,659,456,400.40 and 1,898,316,010.80 is: 2,659,456,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,316,010.80 : 2,659,456,400.40 = 1,898,316,010.80 : x
  2. Step 2: Convert to fraction form
    1,898,316,010.80/2,659,456,400.40 = 1,898,316,010.80/x
  3. Step 3: Cross multiply
    1,898,316,010.80x = 2,659,456,400.40 × 1,898,316,010.80
  4. Step 4: Simplify right side
    1,898,316,010.80x = 5,048,488,664,903,855,104
  5. Step 5: Solve for x
    x = 5,048,488,664,903,855,104/1,898,316,010.80
  6. Step 6: Final answer
    x = 2,659,456,400.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.