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Finding the Fourth Proportional to 1,072,078,122.40, 1,497,848,271.20 and 1,072,078,122.40

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Solution

The fourth proportional to 1,072,078,122.40, 1,497,848,271.20 and 1,072,078,122.40 is: 1,497,848,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,078,122.40 : 1,497,848,271.20 = 1,072,078,122.40 : x
  2. Step 2: Convert to fraction form
    1,072,078,122.40/1,497,848,271.20 = 1,072,078,122.40/x
  3. Step 3: Cross multiply
    1,072,078,122.40x = 1,497,848,271.20 × 1,072,078,122.40
  4. Step 4: Simplify right side
    1,072,078,122.40x = 1,605,810,362,228,182,016
  5. Step 5: Solve for x
    x = 1,605,810,362,228,182,016/1,072,078,122.40
  6. Step 6: Final answer
    x = 1,497,848,271.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.