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Finding the Fourth Proportional to 65,328,077,785.40, 97,992,116,678.10 and 65,328,077,785.40

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Solution

The fourth proportional to 65,328,077,785.40, 97,992,116,678.10 and 65,328,077,785.40 is: 97,992,116,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,328,077,785.40 : 97,992,116,678.10 = 65,328,077,785.40 : x
  2. Step 2: Convert to fraction form
    65,328,077,785.40/97,992,116,678.10 = 65,328,077,785.40/x
  3. Step 3: Cross multiply
    65,328,077,785.40x = 97,992,116,678.10 × 65,328,077,785.40
  4. Step 4: Simplify right side
    65,328,077,785.40x = 6,401,636,620,702,909,988,864
  5. Step 5: Solve for x
    x = 6,401,636,620,702,909,988,864/65,328,077,785.40
  6. Step 6: Final answer
    x = 97,992,116,678.10

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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.