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Finding the Fourth Proportional to 435,675,998.80, 611,476,948.40 and 435,675,998.80

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Solution

The fourth proportional to 435,675,998.80, 611,476,948.40 and 435,675,998.80 is: 611,476,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,675,998.80 : 611,476,948.40 = 435,675,998.80 : x
  2. Step 2: Convert to fraction form
    435,675,998.80/611,476,948.40 = 435,675,998.80/x
  3. Step 3: Cross multiply
    435,675,998.80x = 611,476,948.40 × 435,675,998.80
  4. Step 4: Simplify right side
    435,675,998.80x = 266,405,830,237,346,048
  5. Step 5: Solve for x
    x = 266,405,830,237,346,048/435,675,998.80
  6. Step 6: Final answer
    x = 611,476,948.40

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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.