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Finding the Fourth Proportional to 590,976,671.60, 886,465,007.40 and 397,484,908.40

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Solution

The fourth proportional to 590,976,671.60, 886,465,007.40 and 397,484,908.40 is: 596,227,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,976,671.60 : 886,465,007.40 = 397,484,908.40 : x
  2. Step 2: Convert to fraction form
    590,976,671.60/886,465,007.40 = 397,484,908.40/x
  3. Step 3: Cross multiply
    590,976,671.60x = 886,465,007.40 × 397,484,908.40
  4. Step 4: Simplify right side
    590,976,671.60x = 352,356,462,266,194,304
  5. Step 5: Solve for x
    x = 352,356,462,266,194,304/590,976,671.60
  6. Step 6: Final answer
    x = 596,227,362.60

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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.