Finding the Fourth Proportional to 214,853,417,491.51, 296,498,637,925.12 and 117,197,186,597.27
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Solution
The fourth proportional to 214,853,417,491.51, 296,498,637,925.12 and 117,197,186,597.27 is: 161,732,620,315.99
Step by Step Solution
- Step 1: Write the proportion equation
214,853,417,491.51 : 296,498,637,925.12 = 117,197,186,597.27 : x - Step 2: Convert to fraction form
214,853,417,491.51/296,498,637,925.12 = 117,197,186,597.27/x - Step 3: Cross multiply
214,853,417,491.51x = 296,498,637,925.12 × 117,197,186,597.27 - Step 4: Simplify right side
214,853,417,491.51x = 34,748,806,194,746,686,963,712 - Step 5: Solve for x
x = 34,748,806,194,746,686,963,712/214,853,417,491.51 - Step 6: Final answer
x = 161,732,620,315.99
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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.