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Finding the Fourth Proportional to 335,205,918,200.03, 502,808,877,300.02 and 335,205,918,200.03

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Solution

The fourth proportional to 335,205,918,200.03, 502,808,877,300.02 and 335,205,918,200.03 is: 502,808,877,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,205,918,200.03 : 502,808,877,300.02 = 335,205,918,200.03 : x
  2. Step 2: Convert to fraction form
    335,205,918,200.03/502,808,877,300.02 = 335,205,918,200.03/x
  3. Step 3: Cross multiply
    335,205,918,200.03x = 502,808,877,300.02 × 335,205,918,200.03
  4. Step 4: Simplify right side
    335,205,918,200.03x = 168,544,511,394,479,463,202,816
  5. Step 5: Solve for x
    x = 168,544,511,394,479,463,202,816/335,205,918,200.03
  6. Step 6: Final answer
    x = 502,808,877,300.02

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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.