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Finding the Fourth Proportional to 374,134,464,009.45, 561,201,696,014.19 and 374,134,464,009.45

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Solution

The fourth proportional to 374,134,464,009.45, 561,201,696,014.19 and 374,134,464,009.45 is: 561,201,696,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,134,464,009.45 : 561,201,696,014.19 = 374,134,464,009.45 : x
  2. Step 2: Convert to fraction form
    374,134,464,009.45/561,201,696,014.19 = 374,134,464,009.45/x
  3. Step 3: Cross multiply
    374,134,464,009.45x = 561,201,696,014.19 × 374,134,464,009.45
  4. Step 4: Simplify right side
    374,134,464,009.45x = 209,964,895,739,463,258,341,376
  5. Step 5: Solve for x
    x = 209,964,895,739,463,258,341,376/374,134,464,009.45
  6. Step 6: Final answer
    x = 561,201,696,014.19

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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.