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Finding the Fourth Proportional to 867,478,032,000.05, 1,301,217,048,000.10 and 867,478,032,000.05

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Solution

The fourth proportional to 867,478,032,000.05, 1,301,217,048,000.10 and 867,478,032,000.05 is: 1,301,217,048,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,478,032,000.05 : 1,301,217,048,000.10 = 867,478,032,000.05 : x
  2. Step 2: Convert to fraction form
    867,478,032,000.05/1,301,217,048,000.10 = 867,478,032,000.05/x
  3. Step 3: Cross multiply
    867,478,032,000.05x = 1,301,217,048,000.10 × 867,478,032,000.05
  4. Step 4: Simplify right side
    867,478,032,000.05x = 1,128,777,204,004,041,468,674,048
  5. Step 5: Solve for x
    x = 1,128,777,204,004,041,468,674,048/867,478,032,000.05
  6. Step 6: Final answer
    x = 1,301,217,048,000.10

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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.