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Finding the Fourth Proportional to 705,745,051.20, 989,063,438.40 and 705,745,051.20

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Solution

The fourth proportional to 705,745,051.20, 989,063,438.40 and 705,745,051.20 is: 989,063,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,745,051.20 : 989,063,438.40 = 705,745,051.20 : x
  2. Step 2: Convert to fraction form
    705,745,051.20/989,063,438.40 = 705,745,051.20/x
  3. Step 3: Cross multiply
    705,745,051.20x = 989,063,438.40 × 705,745,051.20
  4. Step 4: Simplify right side
    705,745,051.20x = 698,026,626,973,656,064
  5. Step 5: Solve for x
    x = 698,026,626,973,656,064/705,745,051.20
  6. Step 6: Final answer
    x = 989,063,438.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.