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Finding the Fourth Proportional to 292,159,777,718.07, 438,239,666,577.10 and 292,159,777,718.07

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Solution

The fourth proportional to 292,159,777,718.07, 438,239,666,577.10 and 292,159,777,718.07 is: 438,239,666,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,777,718.07 : 438,239,666,577.10 = 292,159,777,718.07 : x
  2. Step 2: Convert to fraction form
    292,159,777,718.07/438,239,666,577.10 = 292,159,777,718.07/x
  3. Step 3: Cross multiply
    292,159,777,718.07x = 438,239,666,577.10 × 292,159,777,718.07
  4. Step 4: Simplify right side
    292,159,777,718.07x = 128,036,003,574,406,637,944,832
  5. Step 5: Solve for x
    x = 128,036,003,574,406,637,944,832/292,159,777,718.07
  6. Step 6: Final answer
    x = 438,239,666,577.10

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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.