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Finding the Fourth Proportional to 611,245,404,001.60, 916,868,106,002.40 and 611,245,404,001.60

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Solution

The fourth proportional to 611,245,404,001.60, 916,868,106,002.40 and 611,245,404,001.60 is: 916,868,106,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,245,404,001.60 : 916,868,106,002.40 = 611,245,404,001.60 : x
  2. Step 2: Convert to fraction form
    611,245,404,001.60/916,868,106,002.40 = 611,245,404,001.60/x
  3. Step 3: Cross multiply
    611,245,404,001.60x = 916,868,106,002.40 × 611,245,404,001.60
  4. Step 4: Simplify right side
    611,245,404,001.60x = 560,431,415,869,618,786,402,304
  5. Step 5: Solve for x
    x = 560,431,415,869,618,786,402,304/611,245,404,001.60
  6. Step 6: Final answer
    x = 916,868,106,002.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.