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Finding the Fourth Proportional to 1,220,141,141.52, 1,683,978,831.40 and 744,107,681.96

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Solution

The fourth proportional to 1,220,141,141.52, 1,683,978,831.40 and 744,107,681.96 is: 1,026,980,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,141,141.52 : 1,683,978,831.40 = 744,107,681.96 : x
  2. Step 2: Convert to fraction form
    1,220,141,141.52/1,683,978,831.40 = 744,107,681.96/x
  3. Step 3: Cross multiply
    1,220,141,141.52x = 1,683,978,831.40 × 744,107,681.96
  4. Step 4: Simplify right side
    1,220,141,141.52x = 1,253,061,584,702,763,776
  5. Step 5: Solve for x
    x = 1,253,061,584,702,763,776/1,220,141,141.52
  6. Step 6: Final answer
    x = 1,026,980,848.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.