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Finding the Fourth Proportional to 374,134,464,009.20, 561,201,696,013.80 and 374,134,464,009.20

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Solution

The fourth proportional to 374,134,464,009.20, 561,201,696,013.80 and 374,134,464,009.20 is: 561,201,696,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,134,464,009.20 : 561,201,696,013.80 = 374,134,464,009.20 : x
  2. Step 2: Convert to fraction form
    374,134,464,009.20/561,201,696,013.80 = 374,134,464,009.20/x
  3. Step 3: Cross multiply
    374,134,464,009.20x = 561,201,696,013.80 × 374,134,464,009.20
  4. Step 4: Simplify right side
    374,134,464,009.20x = 209,964,895,739,177,072,590,848
  5. Step 5: Solve for x
    x = 209,964,895,739,177,072,590,848/374,134,464,009.20
  6. Step 6: Final answer
    x = 561,201,696,013.80

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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.