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Finding the Fourth Proportional to 652,828,802.40, 978,676,333.20 and 393,769,029.60

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Solution

The fourth proportional to 652,828,802.40, 978,676,333.20 and 393,769,029.60 is: 590,311,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,828,802.40 : 978,676,333.20 = 393,769,029.60 : x
  2. Step 2: Convert to fraction form
    652,828,802.40/978,676,333.20 = 393,769,029.60/x
  3. Step 3: Cross multiply
    652,828,802.40x = 978,676,333.20 × 393,769,029.60
  4. Step 4: Simplify right side
    652,828,802.40x = 385,372,430,016,650,304
  5. Step 5: Solve for x
    x = 385,372,430,016,650,304/652,828,802.40
  6. Step 6: Final answer
    x = 590,311,623.20

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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.