Finding the Fourth Proportional to 369,484,752,029.68, 509,888,936,973.72 and 200,512,023,197.68
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Solution
The fourth proportional to 369,484,752,029.68, 509,888,936,973.72 and 200,512,023,197.68 is: 276,706,580,710.27
Step by Step Solution
- Step 1: Write the proportion equation
369,484,752,029.68 : 509,888,936,973.72 = 200,512,023,197.68 : x - Step 2: Convert to fraction form
369,484,752,029.68/509,888,936,973.72 = 200,512,023,197.68/x - Step 3: Cross multiply
369,484,752,029.68x = 509,888,936,973.72 × 200,512,023,197.68 - Step 4: Simplify right side
369,484,752,029.68x = 102,238,862,358,714,928,594,944 - Step 5: Solve for x
x = 102,238,862,358,714,928,594,944/369,484,752,029.68 - Step 6: Final answer
x = 276,706,580,710.27
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.