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Finding the Fourth Proportional to 760,395,342, 1,049,165,645.04 and 430,370,490.72

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Solution

The fourth proportional to 760,395,342, 1,049,165,645.04 and 430,370,490.72 is: 593,809,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,395,342 : 1,049,165,645.04 = 430,370,490.72 : x
  2. Step 2: Convert to fraction form
    760,395,342/1,049,165,645.04 = 430,370,490.72/x
  3. Step 3: Cross multiply
    760,395,342x = 1,049,165,645.04 × 430,370,490.72
  4. Step 4: Simplify right side
    760,395,342x = 451,529,933,502,430,144
  5. Step 5: Solve for x
    x = 451,529,933,502,430,144/760,395,342
  6. Step 6: Final answer
    x = 593,809,441.70

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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.