Finding the Fourth Proportional to 26,104,690,217,416, 36,024,584,497,142 and 14,239,458,163,764
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Solution
The fourth proportional to 26,104,690,217,416, 36,024,584,497,142 and 14,239,458,163,764 is: 19,650,513,357,626.49
Step by Step Solution
- Step 1: Write the proportion equation
26,104,690,217,416 : 36,024,584,497,142 = 14,239,458,163,764 : x - Step 2: Convert to fraction form
26,104,690,217,416/36,024,584,497,142 = 14,239,458,163,764/x - Step 3: Cross multiply
26,104,690,217,416x = 36,024,584,497,142 × 14,239,458,163,764 - Step 4: Simplify right side
26,104,690,217,416x = 512,970,563,814,034,666,386,620,416 - Step 5: Solve for x
x = 512,970,563,814,034,666,386,620,416/26,104,690,217,416 - Step 6: Final answer
x = 19,650,513,357,626.49
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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.