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Finding the Fourth Proportional to 312,984,564,698.80, 469,476,847,048.20 and 312,984,564,698.80

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Solution

The fourth proportional to 312,984,564,698.80, 469,476,847,048.20 and 312,984,564,698.80 is: 469,476,847,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984,564,698.80 : 469,476,847,048.20 = 312,984,564,698.80 : x
  2. Step 2: Convert to fraction form
    312,984,564,698.80/469,476,847,048.20 = 312,984,564,698.80/x
  3. Step 3: Cross multiply
    312,984,564,698.80x = 469,476,847,048.20 × 312,984,564,698.80
  4. Step 4: Simplify right side
    312,984,564,698.80x = 146,939,006,609,545,974,775,808
  5. Step 5: Solve for x
    x = 146,939,006,609,545,974,775,808/312,984,564,698.80
  6. Step 6: Final answer
    x = 469,476,847,048.20

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1.5x scale

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.