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Finding the Fourth Proportional to 1,585,347,556,501.90, 2,378,021,334,752.90 and 1,585,347,556,501.90

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Solution

The fourth proportional to 1,585,347,556,501.90, 2,378,021,334,752.90 and 1,585,347,556,501.90 is: 2,378,021,334,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,347,556,501.90 : 2,378,021,334,752.90 = 1,585,347,556,501.90 : x
  2. Step 2: Convert to fraction form
    1,585,347,556,501.90/2,378,021,334,752.90 = 1,585,347,556,501.90/x
  3. Step 3: Cross multiply
    1,585,347,556,501.90x = 2,378,021,334,752.90 × 1,585,347,556,501.90
  4. Step 4: Simplify right side
    1,585,347,556,501.90x = 3,769,990,312,359,896,645,894,144
  5. Step 5: Solve for x
    x = 3,769,990,312,359,896,645,894,144/1,585,347,556,501.90
  6. Step 6: Final answer
    x = 2,378,021,334,752.90

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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.