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Finding the Fourth Proportional to 413,716,519,934.78, 620,574,779,902.15 and 413,716,519,934.78

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Solution

The fourth proportional to 413,716,519,934.78, 620,574,779,902.15 and 413,716,519,934.78 is: 620,574,779,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,716,519,934.78 : 620,574,779,902.15 = 413,716,519,934.78 : x
  2. Step 2: Convert to fraction form
    413,716,519,934.78/620,574,779,902.15 = 413,716,519,934.78/x
  3. Step 3: Cross multiply
    413,716,519,934.78x = 620,574,779,902.15 × 413,716,519,934.78
  4. Step 4: Simplify right side
    413,716,519,934.78x = 256,742,038,300,409,586,515,968
  5. Step 5: Solve for x
    x = 256,742,038,300,409,586,515,968/413,716,519,934.78
  6. Step 6: Final answer
    x = 620,574,779,902.15

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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.