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Finding the Fourth Proportional to 312,984,564,726.30, 469,476,847,089.45 and 312,984,564,726.30

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Solution

The fourth proportional to 312,984,564,726.30, 469,476,847,089.45 and 312,984,564,726.30 is: 469,476,847,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984,564,726.30 : 469,476,847,089.45 = 312,984,564,726.30 : x
  2. Step 2: Convert to fraction form
    312,984,564,726.30/469,476,847,089.45 = 312,984,564,726.30/x
  3. Step 3: Cross multiply
    312,984,564,726.30x = 469,476,847,089.45 × 312,984,564,726.30
  4. Step 4: Simplify right side
    312,984,564,726.30x = 146,939,006,635,367,217,496,064
  5. Step 5: Solve for x
    x = 146,939,006,635,367,217,496,064/312,984,564,726.30
  6. Step 6: Final answer
    x = 469,476,847,089.45

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Double scale
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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.