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Finding the Fourth Proportional to 611,245,404,006.06, 916,868,106,009.10 and 611,245,404,006.06

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Solution

The fourth proportional to 611,245,404,006.06, 916,868,106,009.10 and 611,245,404,006.06 is: 916,868,106,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,245,404,006.06 : 916,868,106,009.10 = 611,245,404,006.06 : x
  2. Step 2: Convert to fraction form
    611,245,404,006.06/916,868,106,009.10 = 611,245,404,006.06/x
  3. Step 3: Cross multiply
    611,245,404,006.06x = 916,868,106,009.10 × 611,245,404,006.06
  4. Step 4: Simplify right side
    611,245,404,006.06x = 560,431,415,877,803,383,455,744
  5. Step 5: Solve for x
    x = 560,431,415,877,803,383,455,744/611,245,404,006.06
  6. Step 6: Final answer
    x = 916,868,106,009.10

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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.