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Finding the Fourth Proportional to 7,442,907,762.30, 11,164,361,643.45 and 7,442,907,762.30

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Solution

The fourth proportional to 7,442,907,762.30, 11,164,361,643.45 and 7,442,907,762.30 is: 11,164,361,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,907,762.30 : 11,164,361,643.45 = 7,442,907,762.30 : x
  2. Step 2: Convert to fraction form
    7,442,907,762.30/11,164,361,643.45 = 7,442,907,762.30/x
  3. Step 3: Cross multiply
    7,442,907,762.30x = 11,164,361,643.45 × 7,442,907,762.30
  4. Step 4: Simplify right side
    7,442,907,762.30x = 83,095,313,937,158,389,760
  5. Step 5: Solve for x
    x = 83,095,313,937,158,389,760/7,442,907,762.30
  6. Step 6: Final answer
    x = 11,164,361,643.45

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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.