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Finding the Fourth Proportional to 578,896,374.80, 812,604,833.20 and 578,896,374.80

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Solution

The fourth proportional to 578,896,374.80, 812,604,833.20 and 578,896,374.80 is: 812,604,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,896,374.80 : 812,604,833.20 = 578,896,374.80 : x
  2. Step 2: Convert to fraction form
    578,896,374.80/812,604,833.20 = 578,896,374.80/x
  3. Step 3: Cross multiply
    578,896,374.80x = 812,604,833.20 × 578,896,374.80
  4. Step 4: Simplify right side
    578,896,374.80x = 470,413,992,084,438,656
  5. Step 5: Solve for x
    x = 470,413,992,084,438,656/578,896,374.80
  6. Step 6: Final answer
    x = 812,604,833.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.