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Finding the Fourth Proportional to 586,113,743.56, 808,838,557.64 and 321,812,855.68

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Solution

The fourth proportional to 586,113,743.56, 808,838,557.64 and 321,812,855.68 is: 444,102,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,113,743.56 : 808,838,557.64 = 321,812,855.68 : x
  2. Step 2: Convert to fraction form
    586,113,743.56/808,838,557.64 = 321,812,855.68/x
  3. Step 3: Cross multiply
    586,113,743.56x = 808,838,557.64 × 321,812,855.68
  4. Step 4: Simplify right side
    586,113,743.56x = 260,294,646,018,220,672
  5. Step 5: Solve for x
    x = 260,294,646,018,220,672/586,113,743.56
  6. Step 6: Final answer
    x = 444,102,614.69

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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.