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Finding the Fourth Proportional to 10,464,047.20, 14,683,258.40 and 10,464,047.20

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Solution

The fourth proportional to 10,464,047.20, 14,683,258.40 and 10,464,047.20 is: 14,683,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464,047.20 : 14,683,258.40 = 10,464,047.20 : x
  2. Step 2: Convert to fraction form
    10,464,047.20/14,683,258.40 = 10,464,047.20/x
  3. Step 3: Cross multiply
    10,464,047.20x = 14,683,258.40 × 10,464,047.20
  4. Step 4: Simplify right side
    10,464,047.20x = 153,646,308,947,396.47
  5. Step 5: Solve for x
    x = 153,646,308,947,396.47/10,464,047.20
  6. Step 6: Final answer
    x = 14,683,258.40

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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.