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Finding the Fourth Proportional to 654,798,467.60, 982,197,701.40 and 395,880,412.40

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Solution

The fourth proportional to 654,798,467.60, 982,197,701.40 and 395,880,412.40 is: 593,820,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,798,467.60 : 982,197,701.40 = 395,880,412.40 : x
  2. Step 2: Convert to fraction form
    654,798,467.60/982,197,701.40 = 395,880,412.40/x
  3. Step 3: Cross multiply
    654,798,467.60x = 982,197,701.40 × 395,880,412.40
  4. Step 4: Simplify right side
    654,798,467.60x = 388,832,831,088,564,032
  5. Step 5: Solve for x
    x = 388,832,831,088,564,032/654,798,467.60
  6. Step 6: Final answer
    x = 593,820,618.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.