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Finding the Fourth Proportional to 35,645,184,014.40, 53,467,776,021.60 and 35,645,184,014.40

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Solution

The fourth proportional to 35,645,184,014.40, 53,467,776,021.60 and 35,645,184,014.40 is: 53,467,776,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645,184,014.40 : 53,467,776,021.60 = 35,645,184,014.40 : x
  2. Step 2: Convert to fraction form
    35,645,184,014.40/53,467,776,021.60 = 35,645,184,014.40/x
  3. Step 3: Cross multiply
    35,645,184,014.40x = 53,467,776,021.60 × 35,645,184,014.40
  4. Step 4: Simplify right side
    35,645,184,014.40x = 1,905,868,715,130,655,866,880
  5. Step 5: Solve for x
    x = 1,905,868,715,130,655,866,880/35,645,184,014.40
  6. Step 6: Final answer
    x = 53,467,776,021.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.