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Finding the Fourth Proportional to 1,840,439,232,024, 2,760,658,848,035.80 and 1,840,439,232,024

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Solution

The fourth proportional to 1,840,439,232,024, 2,760,658,848,035.80 and 1,840,439,232,024 is: 2,760,658,848,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,439,232,024 : 2,760,658,848,035.80 = 1,840,439,232,024 : x
  2. Step 2: Convert to fraction form
    1,840,439,232,024/2,760,658,848,035.80 = 1,840,439,232,024/x
  3. Step 3: Cross multiply
    1,840,439,232,024x = 2,760,658,848,035.80 × 1,840,439,232,024
  4. Step 4: Simplify right side
    1,840,439,232,024x = 5,080,824,850,159,267,655,712,768
  5. Step 5: Solve for x
    x = 5,080,824,850,159,267,655,712,768/1,840,439,232,024
  6. Step 6: Final answer
    x = 2,760,658,848,035.80

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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.