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Finding the Fourth Proportional to 397,272,357,079.35, 595,908,535,619.02 and 397,272,357,079.35

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Solution

The fourth proportional to 397,272,357,079.35, 595,908,535,619.02 and 397,272,357,079.35 is: 595,908,535,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,272,357,079.35 : 595,908,535,619.02 = 397,272,357,079.35 : x
  2. Step 2: Convert to fraction form
    397,272,357,079.35/595,908,535,619.02 = 397,272,357,079.35/x
  3. Step 3: Cross multiply
    397,272,357,079.35x = 595,908,535,619.02 × 397,272,357,079.35
  4. Step 4: Simplify right side
    397,272,357,079.35x = 236,737,988,549,071,865,905,152
  5. Step 5: Solve for x
    x = 236,737,988,549,071,865,905,152/397,272,357,079.35
  6. Step 6: Final answer
    x = 595,908,535,619.02

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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.