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Finding the Fourth Proportional to 1,640,799,830.02, 2,264,303,875.90 and 898,243,892.78

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Solution

The fourth proportional to 1,640,799,830.02, 2,264,303,875.90 and 898,243,892.78 is: 1,239,576,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,799,830.02 : 2,264,303,875.90 = 898,243,892.78 : x
  2. Step 2: Convert to fraction form
    1,640,799,830.02/2,264,303,875.90 = 898,243,892.78/x
  3. Step 3: Cross multiply
    1,640,799,830.02x = 2,264,303,875.90 × 898,243,892.78
  4. Step 4: Simplify right side
    1,640,799,830.02x = 2,033,897,127,925,257,984
  5. Step 5: Solve for x
    x = 2,033,897,127,925,257,984/1,640,799,830.02
  6. Step 6: Final answer
    x = 1,239,576,632.51

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Why These Related Problems?

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