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Finding the Fourth Proportional to 1,435,261,930.04, 1,980,662,798.18 and 775,212,208.04

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Solution

The fourth proportional to 1,435,261,930.04, 1,980,662,798.18 and 775,212,208.04 is: 1,069,793,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,261,930.04 : 1,980,662,798.18 = 775,212,208.04 : x
  2. Step 2: Convert to fraction form
    1,435,261,930.04/1,980,662,798.18 = 775,212,208.04/x
  3. Step 3: Cross multiply
    1,435,261,930.04x = 1,980,662,798.18 × 775,212,208.04
  4. Step 4: Simplify right side
    1,435,261,930.04x = 1,535,433,981,159,802,624
  5. Step 5: Solve for x
    x = 1,535,433,981,159,802,624/1,435,261,930.04
  6. Step 6: Final answer
    x = 1,069,793,568.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.