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Finding the Fourth Proportional to 689,602,934.40, 1,034,404,401.60 and 614,776,041.60

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Solution

The fourth proportional to 689,602,934.40, 1,034,404,401.60 and 614,776,041.60 is: 922,164,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,602,934.40 : 1,034,404,401.60 = 614,776,041.60 : x
  2. Step 2: Convert to fraction form
    689,602,934.40/1,034,404,401.60 = 614,776,041.60/x
  3. Step 3: Cross multiply
    689,602,934.40x = 1,034,404,401.60 × 614,776,041.60
  4. Step 4: Simplify right side
    689,602,934.40x = 635,927,043,429,264,768
  5. Step 5: Solve for x
    x = 635,927,043,429,264,768/689,602,934.40
  6. Step 6: Final answer
    x = 922,164,062.40

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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.