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Finding the Fourth Proportional to 464,705,457.80, 697,207,485.90 and 311,524,478.60

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Solution

The fourth proportional to 464,705,457.80, 697,207,485.90 and 311,524,478.60 is: 467,386,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,705,457.80 : 697,207,485.90 = 311,524,478.60 : x
  2. Step 2: Convert to fraction form
    464,705,457.80/697,207,485.90 = 311,524,478.60/x
  3. Step 3: Cross multiply
    464,705,457.80x = 697,207,485.90 × 311,524,478.60
  4. Step 4: Simplify right side
    464,705,457.80x = 217,197,198,521,014,368
  5. Step 5: Solve for x
    x = 217,197,198,521,014,368/464,705,457.80
  6. Step 6: Final answer
    x = 467,386,803.57

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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.