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Finding the Fourth Proportional to 8,148,762,068.40, 12,223,143,102.60 and 8,148,762,068.40

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Solution

The fourth proportional to 8,148,762,068.40, 12,223,143,102.60 and 8,148,762,068.40 is: 12,223,143,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,762,068.40 : 12,223,143,102.60 = 8,148,762,068.40 : x
  2. Step 2: Convert to fraction form
    8,148,762,068.40/12,223,143,102.60 = 8,148,762,068.40/x
  3. Step 3: Cross multiply
    8,148,762,068.40x = 12,223,143,102.60 × 8,148,762,068.40
  4. Step 4: Simplify right side
    8,148,762,068.40x = 99,603,484,871,091,961,856
  5. Step 5: Solve for x
    x = 99,603,484,871,091,961,856/8,148,762,068.40
  6. Step 6: Final answer
    x = 12,223,143,102.60

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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.