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Finding the Fourth Proportional to 786,673,058.10, 1,177,742,105.55 and 786,673,058.10

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Solution

The fourth proportional to 786,673,058.10, 1,177,742,105.55 and 786,673,058.10 is: 1,177,742,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,673,058.10 : 1,177,742,105.55 = 786,673,058.10 : x
  2. Step 2: Convert to fraction form
    786,673,058.10/1,177,742,105.55 = 786,673,058.10/x
  3. Step 3: Cross multiply
    786,673,058.10x = 1,177,742,105.55 × 786,673,058.10
  4. Step 4: Simplify right side
    786,673,058.10x = 926,497,983,826,151,424
  5. Step 5: Solve for x
    x = 926,497,983,826,151,424/786,673,058.10
  6. Step 6: Final answer
    x = 1,177,742,105.55

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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.