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Finding the Fourth Proportional to 586,113,746.56, 808,838,561.78 and 321,812,858.68

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Solution

The fourth proportional to 586,113,746.56, 808,838,561.78 and 321,812,858.68 is: 444,102,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,113,746.56 : 808,838,561.78 = 321,812,858.68 : x
  2. Step 2: Convert to fraction form
    586,113,746.56/808,838,561.78 = 321,812,858.68/x
  3. Step 3: Cross multiply
    586,113,746.56x = 808,838,561.78 × 321,812,858.68
  4. Step 4: Simplify right side
    586,113,746.56x = 260,294,649,777,041,600
  5. Step 5: Solve for x
    x = 260,294,649,777,041,600/586,113,746.56
  6. Step 6: Final answer
    x = 444,102,618.83

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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.