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Finding the Fourth Proportional to 1,690,307,338,233.40, 2,535,461,007,350 and 1,690,307,338,233.40

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Solution

The fourth proportional to 1,690,307,338,233.40, 2,535,461,007,350 and 1,690,307,338,233.40 is: 2,535,461,007,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,307,338,233.40 : 2,535,461,007,350 = 1,690,307,338,233.40 : x
  2. Step 2: Convert to fraction form
    1,690,307,338,233.40/2,535,461,007,350 = 1,690,307,338,233.40/x
  3. Step 3: Cross multiply
    1,690,307,338,233.40x = 2,535,461,007,350 × 1,690,307,338,233.40
  4. Step 4: Simplify right side
    1,690,307,338,233.40x = 4,285,708,346,528,353,438,662,656
  5. Step 5: Solve for x
    x = 4,285,708,346,528,353,438,662,656/1,690,307,338,233.40
  6. Step 6: Final answer
    x = 2,535,461,007,350

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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.