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Finding the Fourth Proportional to 712,929,171.65, 983,712,169.51 and 411,404,482.70

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Solution

The fourth proportional to 712,929,171.65, 983,712,169.51 and 411,404,482.70 is: 567,663,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,929,171.65 : 983,712,169.51 = 411,404,482.70 : x
  2. Step 2: Convert to fraction form
    712,929,171.65/983,712,169.51 = 411,404,482.70/x
  3. Step 3: Cross multiply
    712,929,171.65x = 983,712,169.51 × 411,404,482.70
  4. Step 4: Simplify right side
    712,929,171.65x = 404,703,596,220,698,176
  5. Step 5: Solve for x
    x = 404,703,596,220,698,176/712,929,171.65
  6. Step 6: Final answer
    x = 567,663,117.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.