Finding the Fourth Proportional to 349,579,830,829.74, 482,415,032,455.08 and 195,257,762,465.83
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Solution
The fourth proportional to 349,579,830,829.74, 482,415,032,455.08 and 195,257,762,465.83 is: 269,452,844,557.66
Step by Step Solution
- Step 1: Write the proportion equation
349,579,830,829.74 : 482,415,032,455.08 = 195,257,762,465.83 : x - Step 2: Convert to fraction form
349,579,830,829.74/482,415,032,455.08 = 195,257,762,465.83/x - Step 3: Cross multiply
349,579,830,829.74x = 482,415,032,455.08 × 195,257,762,465.83 - Step 4: Simplify right side
349,579,830,829.74x = 94,195,279,817,059,675,930,624 - Step 5: Solve for x
x = 94,195,279,817,059,675,930,624/349,579,830,829.74 - Step 6: Final answer
x = 269,452,844,557.66
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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.