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Finding the Fourth Proportional to 538,892,097.08, 743,666,762.30 and 312,852,054.87

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Solution

The fourth proportional to 538,892,097.08, 743,666,762.30 and 312,852,054.87 is: 431,733,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,892,097.08 : 743,666,762.30 = 312,852,054.87 : x
  2. Step 2: Convert to fraction form
    538,892,097.08/743,666,762.30 = 312,852,054.87/x
  3. Step 3: Cross multiply
    538,892,097.08x = 743,666,762.30 × 312,852,054.87
  4. Step 4: Simplify right side
    538,892,097.08x = 232,657,674,722,510,592
  5. Step 5: Solve for x
    x = 232,657,674,722,510,592/538,892,097.08
  6. Step 6: Final answer
    x = 431,733,320.98

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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.