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Finding the Fourth Proportional to 734,081,544,000.30, 1,101,122,316,000.40 and 734,081,544,000.30

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Solution

The fourth proportional to 734,081,544,000.30, 1,101,122,316,000.40 and 734,081,544,000.30 is: 1,101,122,316,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,081,544,000.30 : 1,101,122,316,000.40 = 734,081,544,000.30 : x
  2. Step 2: Convert to fraction form
    734,081,544,000.30/1,101,122,316,000.40 = 734,081,544,000.30/x
  3. Step 3: Cross multiply
    734,081,544,000.30x = 1,101,122,316,000.40 × 734,081,544,000.30
  4. Step 4: Simplify right side
    734,081,544,000.30x = 808,313,569,862,759,886,094,336
  5. Step 5: Solve for x
    x = 808,313,569,862,759,886,094,336/734,081,544,000.30
  6. Step 6: Final answer
    x = 1,101,122,316,000.40

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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.