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Finding the Fourth Proportional to 585,016,469.70, 877,748,653.35 and 575,834,568.90

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Solution

The fourth proportional to 585,016,469.70, 877,748,653.35 and 575,834,568.90 is: 863,972,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,016,469.70 : 877,748,653.35 = 575,834,568.90 : x
  2. Step 2: Convert to fraction form
    585,016,469.70/877,748,653.35 = 575,834,568.90/x
  3. Step 3: Cross multiply
    585,016,469.70x = 877,748,653.35 × 575,834,568.90
  4. Step 4: Simplify right side
    585,016,469.70x = 505,438,017,404,352,768
  5. Step 5: Solve for x
    x = 505,438,017,404,352,768/585,016,469.70
  6. Step 6: Final answer
    x = 863,972,287.25

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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.