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Finding the Fourth Proportional to 1,069,681,473.04, 1,475,617,160.82 and 698,620,706.32

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Solution

The fourth proportional to 1,069,681,473.04, 1,475,617,160.82 and 698,620,706.32 is: 963,741,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,681,473.04 : 1,475,617,160.82 = 698,620,706.32 : x
  2. Step 2: Convert to fraction form
    1,069,681,473.04/1,475,617,160.82 = 698,620,706.32/x
  3. Step 3: Cross multiply
    1,069,681,473.04x = 1,475,617,160.82 × 698,620,706.32
  4. Step 4: Simplify right side
    1,069,681,473.04x = 1,030,896,703,149,981,440
  5. Step 5: Solve for x
    x = 1,030,896,703,149,981,440/1,069,681,473.04
  6. Step 6: Final answer
    x = 963,741,757.83

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Double scale
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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.