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Finding the Fourth Proportional to 68,051,871,688.05, 102,077,807,532.08 and 68,051,871,688.05

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Solution

The fourth proportional to 68,051,871,688.05, 102,077,807,532.08 and 68,051,871,688.05 is: 102,077,807,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051,871,688.05 : 102,077,807,532.08 = 68,051,871,688.05 : x
  2. Step 2: Convert to fraction form
    68,051,871,688.05/102,077,807,532.08 = 68,051,871,688.05/x
  3. Step 3: Cross multiply
    68,051,871,688.05x = 102,077,807,532.08 × 68,051,871,688.05
  4. Step 4: Simplify right side
    68,051,871,688.05x = 6,946,585,860,370,572,771,328
  5. Step 5: Solve for x
    x = 6,946,585,860,370,572,771,328/68,051,871,688.05
  6. Step 6: Final answer
    x = 102,077,807,532.08

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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.