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Finding the Fourth Proportional to 1,283,226,642,003.40, 1,924,839,963,005.10 and 1,283,226,642,003.40

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Solution

The fourth proportional to 1,283,226,642,003.40, 1,924,839,963,005.10 and 1,283,226,642,003.40 is: 1,924,839,963,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,642,003.40 : 1,924,839,963,005.10 = 1,283,226,642,003.40 : x
  2. Step 2: Convert to fraction form
    1,283,226,642,003.40/1,924,839,963,005.10 = 1,283,226,642,003.40/x
  3. Step 3: Cross multiply
    1,283,226,642,003.40x = 1,924,839,963,005.10 × 1,283,226,642,003.40
  4. Step 4: Simplify right side
    1,283,226,642,003.40x = 2,470,005,922,120,982,994,092,032
  5. Step 5: Solve for x
    x = 2,470,005,922,120,982,994,092,032/1,283,226,642,003.40
  6. Step 6: Final answer
    x = 1,924,839,963,005.10

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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.