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Finding the Fourth Proportional to 374,134,464,007.09, 561,201,696,010.62 and 374,134,464,007.09

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Solution

The fourth proportional to 374,134,464,007.09, 561,201,696,010.62 and 374,134,464,007.09 is: 561,201,696,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,134,464,007.09 : 561,201,696,010.62 = 374,134,464,007.09 : x
  2. Step 2: Convert to fraction form
    374,134,464,007.09/561,201,696,010.62 = 374,134,464,007.09/x
  3. Step 3: Cross multiply
    374,134,464,007.09x = 561,201,696,010.62 × 374,134,464,007.09
  4. Step 4: Simplify right side
    374,134,464,007.09x = 209,964,895,736,803,197,190,144
  5. Step 5: Solve for x
    x = 209,964,895,736,803,197,190,144/374,134,464,007.09
  6. Step 6: Final answer
    x = 561,201,696,010.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.