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Finding the Fourth Proportional to 145,339,401,825.60, 218,009,102,738.40 and 145,339,401,825.60

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Solution

The fourth proportional to 145,339,401,825.60, 218,009,102,738.40 and 145,339,401,825.60 is: 218,009,102,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,339,401,825.60 : 218,009,102,738.40 = 145,339,401,825.60 : x
  2. Step 2: Convert to fraction form
    145,339,401,825.60/218,009,102,738.40 = 145,339,401,825.60/x
  3. Step 3: Cross multiply
    145,339,401,825.60x = 218,009,102,738.40 × 145,339,401,825.60
  4. Step 4: Simplify right side
    145,339,401,825.60x = 31,685,312,584,534,829,563,904
  5. Step 5: Solve for x
    x = 31,685,312,584,534,829,563,904/145,339,401,825.60
  6. Step 6: Final answer
    x = 218,009,102,738.40

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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.