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Finding the Fourth Proportional to 713,132,607.14, 983,975,628.38 and 411,712,695.46

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Solution

The fourth proportional to 713,132,607.14, 983,975,628.38 and 411,712,695.46 is: 568,078,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,132,607.14 : 983,975,628.38 = 411,712,695.46 : x
  2. Step 2: Convert to fraction form
    713,132,607.14/983,975,628.38 = 411,712,695.46/x
  3. Step 3: Cross multiply
    713,132,607.14x = 983,975,628.38 × 411,712,695.46
  4. Step 4: Simplify right side
    713,132,607.14x = 405,115,258,220,298,624
  5. Step 5: Solve for x
    x = 405,115,258,220,298,624/713,132,607.14
  6. Step 6: Final answer
    x = 568,078,438.94

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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.