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Finding the Fourth Proportional to 882,458,041,802.10, 1,321,594,992,062.50 and 882,458,041,802.10

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Solution

The fourth proportional to 882,458,041,802.10, 1,321,594,992,062.50 and 882,458,041,802.10 is: 1,321,594,992,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,458,041,802.10 : 1,321,594,992,062.50 = 882,458,041,802.10 : x
  2. Step 2: Convert to fraction form
    882,458,041,802.10/1,321,594,992,062.50 = 882,458,041,802.10/x
  3. Step 3: Cross multiply
    882,458,041,802.10x = 1,321,594,992,062.50 × 882,458,041,802.10
  4. Step 4: Simplify right side
    882,458,041,802.10x = 1,166,252,128,750,935,597,907,968
  5. Step 5: Solve for x
    x = 1,166,252,128,750,935,597,907,968/882,458,041,802.10
  6. Step 6: Final answer
    x = 1,321,594,992,062.50

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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.