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Finding the Fourth Proportional to 583,661,282.52, 805,462,657.02 and 319,366,374.84

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Solution

The fourth proportional to 583,661,282.52, 805,462,657.02 and 319,366,374.84 is: 440,731,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,661,282.52 : 805,462,657.02 = 319,366,374.84 : x
  2. Step 2: Convert to fraction form
    583,661,282.52/805,462,657.02 = 319,366,374.84/x
  3. Step 3: Cross multiply
    583,661,282.52x = 805,462,657.02 × 319,366,374.84
  4. Step 4: Simplify right side
    583,661,282.52x = 257,237,688,841,471,648
  5. Step 5: Solve for x
    x = 257,237,688,841,471,648/583,661,282.52
  6. Step 6: Final answer
    x = 440,731,116.74

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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.