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Finding the Fourth Proportional to 209,953,802.70, 314,930,704.05 and 202,301,052.30

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Solution

The fourth proportional to 209,953,802.70, 314,930,704.05 and 202,301,052.30 is: 303,451,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,802.70 : 314,930,704.05 = 202,301,052.30 : x
  2. Step 2: Convert to fraction form
    209,953,802.70/314,930,704.05 = 202,301,052.30/x
  3. Step 3: Cross multiply
    209,953,802.70x = 314,930,704.05 × 202,301,052.30
  4. Step 4: Simplify right side
    209,953,802.70x = 63,710,812,830,894,880
  5. Step 5: Solve for x
    x = 63,710,812,830,894,880/209,953,802.70
  6. Step 6: Final answer
    x = 303,451,578.45

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