Finding the Fourth Proportional to 754,922,350,122.05, 1,041,792,803,320.80 and 407,692,595,605.53
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Solution
The fourth proportional to 754,922,350,122.05, 1,041,792,803,320.80 and 407,692,595,605.53 is: 562,615,760,416.09
Step by Step Solution
- Step 1: Write the proportion equation
754,922,350,122.05 : 1,041,792,803,320.80 = 407,692,595,605.53 : x - Step 2: Convert to fraction form
754,922,350,122.05/1,041,792,803,320.80 = 407,692,595,605.53/x - Step 3: Cross multiply
754,922,350,122.05x = 1,041,792,803,320.80 × 407,692,595,605.53 - Step 4: Simplify right side
754,922,350,122.05x = 424,731,212,069,018,447,904,768 - Step 5: Solve for x
x = 424,731,212,069,018,447,904,768/754,922,350,122.05 - Step 6: Final answer
x = 562,615,760,416.09
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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.