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Finding the Fourth Proportional to 1,030,900,894.08, 1,422,643,465.44 and 567,326,878.08

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Solution

The fourth proportional to 1,030,900,894.08, 1,422,643,465.44 and 567,326,878.08 is: 782,911,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,900,894.08 : 1,422,643,465.44 = 567,326,878.08 : x
  2. Step 2: Convert to fraction form
    1,030,900,894.08/1,422,643,465.44 = 567,326,878.08/x
  3. Step 3: Cross multiply
    1,030,900,894.08x = 1,422,643,465.44 × 567,326,878.08
  4. Step 4: Simplify right side
    1,030,900,894.08x = 807,103,875,868,987,648
  5. Step 5: Solve for x
    x = 807,103,875,868,987,648/1,030,900,894.08
  6. Step 6: Final answer
    x = 782,911,219.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.