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Finding the Fourth Proportional to 413,726,818,530.02, 620,590,227,795.10 and 413,726,818,530.02

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Solution

The fourth proportional to 413,726,818,530.02, 620,590,227,795.10 and 413,726,818,530.02 is: 620,590,227,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,726,818,530.02 : 620,590,227,795.10 = 413,726,818,530.02 : x
  2. Step 2: Convert to fraction form
    413,726,818,530.02/620,590,227,795.10 = 413,726,818,530.02/x
  3. Step 3: Cross multiply
    413,726,818,530.02x = 620,590,227,795.10 × 413,726,818,530.02
  4. Step 4: Simplify right side
    413,726,818,530.02x = 256,754,820,556,487,129,038,848
  5. Step 5: Solve for x
    x = 256,754,820,556,487,129,038,848/413,726,818,530.02
  6. Step 6: Final answer
    x = 620,590,227,795.10

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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.