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Finding the Fourth Proportional to 611,245,404,005.06, 916,868,106,007.60 and 611,245,404,005.06

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Solution

The fourth proportional to 611,245,404,005.06, 916,868,106,007.60 and 611,245,404,005.06 is: 916,868,106,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,245,404,005.06 : 916,868,106,007.60 = 611,245,404,005.06 : x
  2. Step 2: Convert to fraction form
    611,245,404,005.06/916,868,106,007.60 = 611,245,404,005.06/x
  3. Step 3: Cross multiply
    611,245,404,005.06x = 916,868,106,007.60 × 611,245,404,005.06
  4. Step 4: Simplify right side
    611,245,404,005.06x = 560,431,415,875,969,700,855,808
  5. Step 5: Solve for x
    x = 560,431,415,875,969,700,855,808/611,245,404,005.06
  6. Step 6: Final answer
    x = 916,868,106,007.60

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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.