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Finding the Fourth Proportional to 1,575,219,902.90, 2,362,829,854.35 and 1,575,219,902.90

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Solution

The fourth proportional to 1,575,219,902.90, 2,362,829,854.35 and 1,575,219,902.90 is: 2,362,829,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,219,902.90 : 2,362,829,854.35 = 1,575,219,902.90 : x
  2. Step 2: Convert to fraction form
    1,575,219,902.90/2,362,829,854.35 = 1,575,219,902.90/x
  3. Step 3: Cross multiply
    1,575,219,902.90x = 2,362,829,854.35 × 1,575,219,902.90
  4. Step 4: Simplify right side
    1,575,219,902.90x = 3,721,976,613,738,428,416
  5. Step 5: Solve for x
    x = 3,721,976,613,738,428,416/1,575,219,902.90
  6. Step 6: Final answer
    x = 2,362,829,854.35

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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.