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Finding the Fourth Proportional to 560,097,936.33, 840,146,904.49 and 560,097,936.33

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Solution

The fourth proportional to 560,097,936.33, 840,146,904.49 and 560,097,936.33 is: 840,146,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,097,936.33 : 840,146,904.49 = 560,097,936.33 : x
  2. Step 2: Convert to fraction form
    560,097,936.33/840,146,904.49 = 560,097,936.33/x
  3. Step 3: Cross multiply
    560,097,936.33x = 840,146,904.49 × 560,097,936.33
  4. Step 4: Simplify right side
    560,097,936.33x = 470,564,547,418,886,656
  5. Step 5: Solve for x
    x = 470,564,547,418,886,656/560,097,936.33
  6. Step 6: Final answer
    x = 840,146,904.49

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Double scale
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1.5x scale

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.