Home / 705,001,041,612.72-972,904,732,093.62-400,523,405,105.16

Finding the Fourth Proportional to 705,001,041,612.72, 972,904,732,093.62 and 400,523,405,105.16

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Solution

The fourth proportional to 705,001,041,612.72, 972,904,732,093.62 and 400,523,405,105.16 is: 552,724,170,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,001,041,612.72 : 972,904,732,093.62 = 400,523,405,105.16 : x
  2. Step 2: Convert to fraction form
    705,001,041,612.72/972,904,732,093.62 = 400,523,405,105.16/x
  3. Step 3: Cross multiply
    705,001,041,612.72x = 972,904,732,093.62 × 400,523,405,105.16
  4. Step 4: Simplify right side
    705,001,041,612.72x = 389,671,116,141,060,111,204,352
  5. Step 5: Solve for x
    x = 389,671,116,141,060,111,204,352/705,001,041,612.72
  6. Step 6: Final answer
    x = 552,724,170,803.59

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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.