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Finding the Fourth Proportional to 1,938,438,448.32, 2,908,503,417.99 and 678,806,641.80

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Solution

The fourth proportional to 1,938,438,448.32, 2,908,503,417.99 and 678,806,641.80 is: 1,018,506,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,438,448.32 : 2,908,503,417.99 = 678,806,641.80 : x
  2. Step 2: Convert to fraction form
    1,938,438,448.32/2,908,503,417.99 = 678,806,641.80/x
  3. Step 3: Cross multiply
    1,938,438,448.32x = 2,908,503,417.99 × 678,806,641.80
  4. Step 4: Simplify right side
    1,938,438,448.32x = 1,974,311,437,818,832,640
  5. Step 5: Solve for x
    x = 1,974,311,437,818,832,640/1,938,438,448.32
  6. Step 6: Final answer
    x = 1,018,506,127.72

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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.