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Finding the Fourth Proportional to 600,575,430.40, 900,863,145.60 and 471,580,921.60

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Solution

The fourth proportional to 600,575,430.40, 900,863,145.60 and 471,580,921.60 is: 707,371,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,575,430.40 : 900,863,145.60 = 471,580,921.60 : x
  2. Step 2: Convert to fraction form
    600,575,430.40/900,863,145.60 = 471,580,921.60/x
  3. Step 3: Cross multiply
    600,575,430.40x = 900,863,145.60 × 471,580,921.60
  4. Step 4: Simplify right side
    600,575,430.40x = 424,829,872,437,523,008
  5. Step 5: Solve for x
    x = 424,829,872,437,523,008/600,575,430.40
  6. Step 6: Final answer
    x = 707,371,382.40

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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.