Home / 705,001,041,619.20-972,904,732,102.56-400,523,405,111.66

Finding the Fourth Proportional to 705,001,041,619.20, 972,904,732,102.56 and 400,523,405,111.66

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Solution

The fourth proportional to 705,001,041,619.20, 972,904,732,102.56 and 400,523,405,111.66 is: 552,724,170,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,001,041,619.20 : 972,904,732,102.56 = 400,523,405,111.66 : x
  2. Step 2: Convert to fraction form
    705,001,041,619.20/972,904,732,102.56 = 400,523,405,111.66/x
  3. Step 3: Cross multiply
    705,001,041,619.20x = 972,904,732,102.56 × 400,523,405,111.66
  4. Step 4: Simplify right side
    705,001,041,619.20x = 389,671,116,150,964,708,442,112
  5. Step 5: Solve for x
    x = 389,671,116,150,964,708,442,112/705,001,041,619.20
  6. Step 6: Final answer
    x = 552,724,170,812.56

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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.