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Finding the Fourth Proportional to 353,130,984,090.20, 529,696,476,135.30 and 353,130,984,090.20

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Solution

The fourth proportional to 353,130,984,090.20, 529,696,476,135.30 and 353,130,984,090.20 is: 529,696,476,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,130,984,090.20 : 529,696,476,135.30 = 353,130,984,090.20 : x
  2. Step 2: Convert to fraction form
    353,130,984,090.20/529,696,476,135.30 = 353,130,984,090.20/x
  3. Step 3: Cross multiply
    353,130,984,090.20x = 529,696,476,135.30 × 353,130,984,090.20
  4. Step 4: Simplify right side
    353,130,984,090.20x = 187,052,237,886,769,634,213,888
  5. Step 5: Solve for x
    x = 187,052,237,886,769,634,213,888/353,130,984,090.20
  6. Step 6: Final answer
    x = 529,696,476,135.30

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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.