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Finding the Fourth Proportional to 1,163,769,493.68, 1,606,039,374.60 and 661,965,415.20

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Solution

The fourth proportional to 1,163,769,493.68, 1,606,039,374.60 and 661,965,415.20 is: 913,533,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,769,493.68 : 1,606,039,374.60 = 661,965,415.20 : x
  2. Step 2: Convert to fraction form
    1,163,769,493.68/1,606,039,374.60 = 661,965,415.20/x
  3. Step 3: Cross multiply
    1,163,769,493.68x = 1,606,039,374.60 × 661,965,415.20
  4. Step 4: Simplify right side
    1,163,769,493.68x = 1,063,142,521,434,637,312
  5. Step 5: Solve for x
    x = 1,063,142,521,434,637,312/1,163,769,493.68
  6. Step 6: Final answer
    x = 913,533,588.23

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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.