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Finding the Fourth Proportional to 278,159,877,374.40, 417,239,816,061.60 and 278,159,877,374.40

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Solution

The fourth proportional to 278,159,877,374.40, 417,239,816,061.60 and 278,159,877,374.40 is: 417,239,816,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,159,877,374.40 : 417,239,816,061.60 = 278,159,877,374.40 : x
  2. Step 2: Convert to fraction form
    278,159,877,374.40/417,239,816,061.60 = 278,159,877,374.40/x
  3. Step 3: Cross multiply
    278,159,877,374.40x = 417,239,816,061.60 × 278,159,877,374.40
  4. Step 4: Simplify right side
    278,159,877,374.40x = 116,059,376,071,411,866,009,600
  5. Step 5: Solve for x
    x = 116,059,376,071,411,866,009,600/278,159,877,374.40
  6. Step 6: Final answer
    x = 417,239,816,061.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.