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Finding the Fourth Proportional to 18,585,295,117.20, 26,038,762,340.40 and 18,585,295,117.20

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Solution

The fourth proportional to 18,585,295,117.20, 26,038,762,340.40 and 18,585,295,117.20 is: 26,038,762,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585,295,117.20 : 26,038,762,340.40 = 18,585,295,117.20 : x
  2. Step 2: Convert to fraction form
    18,585,295,117.20/26,038,762,340.40 = 18,585,295,117.20/x
  3. Step 3: Cross multiply
    18,585,295,117.20x = 26,038,762,340.40 × 18,585,295,117.20
  4. Step 4: Simplify right side
    18,585,295,117.20x = 483,938,082,582,967,418,880
  5. Step 5: Solve for x
    x = 483,938,082,582,967,418,880/18,585,295,117.20
  6. Step 6: Final answer
    x = 26,038,762,340.40

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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.