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Finding the Fourth Proportional to 471,521,544,010.40, 707,282,316,015.60 and 471,521,544,010.40

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Solution

The fourth proportional to 471,521,544,010.40, 707,282,316,015.60 and 471,521,544,010.40 is: 707,282,316,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,521,544,010.40 : 707,282,316,015.60 = 471,521,544,010.40 : x
  2. Step 2: Convert to fraction form
    471,521,544,010.40/707,282,316,015.60 = 471,521,544,010.40/x
  3. Step 3: Cross multiply
    471,521,544,010.40x = 707,282,316,015.60 × 471,521,544,010.40
  4. Step 4: Simplify right side
    471,521,544,010.40x = 333,498,849,698,927,393,898,496
  5. Step 5: Solve for x
    x = 333,498,849,698,927,393,898,496/471,521,544,010.40
  6. Step 6: Final answer
    x = 707,282,316,015.60

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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.