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Finding the Fourth Proportional to 470,071,244.80, 658,779,987.20 and 470,071,244.80

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Solution

The fourth proportional to 470,071,244.80, 658,779,987.20 and 470,071,244.80 is: 658,779,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,071,244.80 : 658,779,987.20 = 470,071,244.80 : x
  2. Step 2: Convert to fraction form
    470,071,244.80/658,779,987.20 = 470,071,244.80/x
  3. Step 3: Cross multiply
    470,071,244.80x = 658,779,987.20 × 470,071,244.80
  4. Step 4: Simplify right side
    470,071,244.80x = 309,673,528,632,432,128
  5. Step 5: Solve for x
    x = 309,673,528,632,432,128/470,071,244.80
  6. Step 6: Final answer
    x = 658,779,987.20

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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.